### Complete Bibliography

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[2] : “On braid groups,” Comm. Pure Appl. Math. 22 (January 1969), pp. 41–72. MR 0234447 Zbl 0157.30904 article

[3] : “Automorphisms of the fundamental group of a closed, orientable 2-manifold,” Proc. Am. Math. Soc. 21 : 2 (May 1969), pp. 351–354. MR 0239593 Zbl 0175.50103 article

[4] : “Mapping class groups and their relationship to braid groups,” Comm. Pure Appl. Math. 22 : 2 (March 1969), pp. 213–238. MR 0243519 Zbl 0167.21503 article

[5] : “Non-conjugate braids can define isotopic knots,” Comm. Pure Appl. Math. 22 (March 1969), pp. 239–242. MR 0244985 Zbl 0187.45502 article

[6] : “Abelian quotients of the mapping class group of a 2-manifold,” Bull. Am. Math. Soc. 76 : 1 (1970), pp. 147–150. MR 0249603 Zbl 0191.22401 article

[7]
:
“Discriminant and projective invariants of binary forms,”
Comm. Pure Appl. Math.
23
(May 1970),
pp. 269–275.
A correction to this article was published in *Comm. Pure Appl. Math.* **26** (1973).
MR
0259903
Zbl
0189.55002
article

[8]
:
“Errata: ‘Abelian quotients of the mapping class group of a 2-manifold’,”
Bull. Am. Math. Soc.
77 : 3
(1971),
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Errata to an article published in *Bull. Am. Math. Soc.* **76**:1 (1970).
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0267091
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[9] : “On Siegel’s modular group,” Math. Ann. 191 (1971), pp. 59–68. MR 0280606 Zbl 0208.10601 article

[10] : “On the mapping class groups of closed surfaces as covering spaces,” pp. 81–115 in Advances in the theory of Riemann surfaces (Stony Brook, NY, 1969). Edited by L. V. Ahlfors, L. Bers, H. M. Farkas, R. C. Gunning, I. Kra, and H. E. Rauch. Annals of Mathematics Studies 66. Princeton University Press, 1971. MR 0292082 Zbl 0217.48602 incollection

[11] : “A normal form in the homeotopy group of a surface of genus 2, with applications to 3-manifolds,” Proc. Am. Math. Soc. 34 : 2 (August 1972), pp. 379–384. MR 0295308 Zbl 0253.55001 article

[12]
:
“On the homeotopy group of a non-orientable surface,”
Proc. Camb. Philos. Soc.
71 : 3
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An erratum to this article was published in *Math. Proc. Camb. Philos. Soc.* **136**:2 (2004).
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article

[13] : “Isotopies of homeomorphisms of Riemann surfaces and a theorem about Artin’s braid group,” Bull. Am. Math. Soc. 78 : 6 (November 1972), pp. 1002–1004. MR 0307217 Zbl 0255.57002 article

[14] : “Lifting and projecting homeomorphisms,” Arch. Math. (Basel) 23 : 1 (1972), pp. 428–434. MR 0321071 Zbl 0247.55001 article

[15]
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“The homeomorphism problem for __\( S^3 \)__,”
Bull. Am. Math. Soc.
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0319180
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[16]
:
“Correction to: ‘Discriminant and projective invariants of binary forms’,”
Comm. Pure Appl. Math.
26
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pp. 85.
Correction to an article published in *Comm. Pure Appl. Math.* **23** (1970).
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0325533
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[17] : “On isotopies of homeomorphisms of Riemann surfaces,” Ann. Math. (2) 97 : 3 (May 1973), pp. 424–439. MR 0325959 Zbl 0237.57001 article

[18] : “An inverse function theorem for free groups,” Proc. Am. Math. Soc. 41 (1973), pp. 634–638. MR 0330295 Zbl 0274.20032 article

[19] : “Plat presentations for link groups,” Comm. Pure Appl. Math. 26 (September 1973), pp. 673–678. Collection of articles dedicated to Wilhelm Magnus. MR 0336734 Zbl 0266.20027 article

[20] : “Poincaré’s conjecture and the homeotopy group of a closed, orientable 2-manifold,” pp. 214–221 in Collection of articles dedicated to the memory of Hanna Neumann, VI, published as J. Austral. Math. Soc. 17 : 2. Australian National University (Canberra), March 1974. MR 0343255 Zbl 0282.55003 incollection

[21]
:
Braids, links, and mapping class groups.
Annals of Mathematics Studies 82.
Princeton University Press,
1974.
Based on lecture notes by James Cannon.
An erratum to Theorem 2.7 is given in *Can. J. Math.* **34**:6 (1982).
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0375281
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0305.57013
book

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[23] : “On the equivalence of Heegaard splittings of closed, orientable 3-manifolds,” pp. 137–164 in Knots, groups, and 3-manifolds: Papers dedicated to the memory of R. H. Fox. Edited by L. P. Neuwirth. Annals of Mathematics Studies 84. Princeton University Press, 1975. MR 0375318 Zbl 0337.57002 incollection

[24]
:
“Heegaard splittings of branched coverings of __\( S^3 \)__,”
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[25]
:
“A note on the construction of simply-connected 3-manifolds as branched covering spaces of __\( S^3 \)__,”
Proc. Am. Math. Soc.
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0394629
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[26]
:
“On the __\( \mu \)__-invariant of __\( Z \)__-homology 3-spheres,”
Bull. Am. Math. Soc.
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[27] : “On the stable equivalence of plat representations of knots and links,” Can. J. Math. 28 : 2 (1976), pp. 264–290. MR 0402715 Zbl 0339.55005 article

[28] : “Heegaard splittings of prime 3-manifolds are not unique,” Michigan Math. J. 23 : 2 (1976), pp. 97–103. MR 0431175 Zbl 0321.57004 article

[29] : “The algebraic structure of surface mapping class groups,” pp. 163–198 in Discrete groups and automorphic functions (Cambridge, 28 July–15 August 1975). Edited by W. J. Harvey. Academic Press (London), 1977. MR 0488019 incollection

[30] : “Special Heegaard splittings for closed, oriented 3-manifolds,” Topology 17 : 2 (1978), pp. 157–166. MR 0482764 Zbl 0412.57009 article

[31]
:
“The __\( \mu \)__-invariant of 3-manifolds and certain structural properties of the group of homeomorphisms of a closed, oriented 2-manifold,”
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[32] : “Special representations for 3-manifolds,” pp. 23–51 in Geometric topology (Athens, GA, 1–12 August 1977). Edited by J. C. Cantrell. Academic Press (New York), 1979. MR 537723 Zbl 0471.57002 incollection

[33] : “A representation theorem for fibered knots and their monodromy maps,” pp. 1–8 in Topology of low-dimensional manifolds: Proceedings of the second Sussex conference, 1977 (Chelwood Gate, UK, 8–11 July 1977). Edited by R. Fenn. Lecture Notes in Mathematics 722. Springer (Berlin), 1979. MR 547448 Zbl 0406.57004 incollection

[34] : Seifert and Threll: A textbook of topology and Seifert: Topology of 3-dimensional fibred spaces. Edited by J. S. Birman and J. Eisner. Pure and Applied Mathematics 89. Academic Press (New York), 1980. Two German texts combined into a single volume. MR 0575168 Zbl 0469.55001 book

[35] : “On minimal Heegaard splittings,” Michigan Math. J. 27 : 1 (1980), pp. 47–56. MR 555836 Zbl 0436.57003 article

[36]
:
“Errata: On the conjugacy problem in the braid group,”
Can. J. Math.
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678679
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[37] : “Fixed points of pseudo-Anosov diffeomorphisms of surfaces,” Adv. in Math. 46 : 2 (November 1982), pp. 217–220. MR 679909 Zbl 0508.55001 article

[38]
:
“Knotted periodic orbits in dynamical systems, I: Lorenz’s equations,”
Topology
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[39]
:
“Knotted periodic orbits in dynamical system, II: Knot holders for fibered knots,”
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Part I was published in *Topology* **22**:1 (1983).
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718132
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[40] : “Abelian and solvable subgroups of the mapping class groups,” Duke Math. J. 50 : 4 (December 1983), pp. 1107–1120. MR 726319 Zbl 0551.57004 article

[41] : “An algorithm for simple curves on surfaces,” J. London Math. Soc. (2) 29 : 2 (1984), pp. 331–342. MR 744104 Zbl 0507.57006 article

[42] : “One-sided Heegaard splittings and homeotopy groups of some 3-manifolds,” Proc. London Math. Soc. (3) 49 : 3 (1984), pp. 517–536. MR 759302 Zbl 0527.57003 article

[43] : “Geodesics with bounded intersection number on surfaces are sparsely distributed,” Topology 24 : 2 (1985), pp. 217–225. MR 793185 Zbl 0568.57006 article

[44] : “On the Jones polynomial of closed 3-braids,” Invent. Math. 81 : 2 (June 1985), pp. 287–294. MR 799267 Zbl 0588.57005 article

[45] : “3-fold branched coverings and the mapping class group of a surface,” pp. 24–46 in Geometry and topology (College Park, MD, 1983–1984). Edited by J. C. Alexander and J. L. Harer. Lecture Notes in Mathematics 1167. Springer (Berlin), 1985. MR 827260 Zbl 0589.57009 incollection

[46] : “Knotted periodic orbits in dynamical systems,” pp. 49–58 in Group theoretical methods in physics: Proceedings of the 14th ICGTMP (Seoul, 26–30 August 1985). Edited by Y. M. Cho. World Scientific (Singapore), 1986. MR 852702 Zbl 0709.58029 incollection

[47] : “Markov classes in certain finite quotients of Artin’s braid group,” Israel J. Math. 56 : 2 (1986), pp. 160–178. MR 880289 Zbl 0621.20025 article

[48] : “Geodesics with multiple self-intersections and symmetries on Riemann surfaces,” pp. 3–11 in Low-dimensional topology and Kleinian groups (Coventry and Durham, UK, 1984). Edited by D. B. A. Epstein. London Mathematical Society Lecture Note Series 112. Cambridge University Press, 1986. MR 903857 Zbl 0618.57001 incollection

[49] : “Dehn’s algorithm revisited, with applications to simple curves on surfaces,” pp. 451–478 in Combinatorial group theory and topology (Alta Lodge, UT, 15–18 July 1984). Edited by S. M. Gersten and J. R. Stallings. Annals of Mathematics Studies 111. Princeton University Press, 1987. MR 895628 Zbl 0624.20033 incollection

[50] : “Book reviews: Gerhard Burde and Heiner Zieschang, ‘Knots’, Louis H. Kauffman, ‘On knots’,” Bull. Am. Math. Soc. (N.S.) 19 : 2 (1988), pp. 550–558. MR 1567720 article

[51] : “Jones’ braid-plat formula and a new surgery triple,” Proc. Am. Math. Soc. 102 : 3 (March 1988), pp. 687–695. MR 929004 Zbl 0643.57007 article

[52] : “Algebraic linearity for an automorphism of a surface group,” J. Pure Appl. Algebra 52 : 3 (July 1988), pp. 227–275. MR 952081 Zbl 0646.57007 article

[53] : “Mapping class groups of surfaces,” pp. 13–43 in Braids (Santa Cruz, CA, 13–26 July 1986). Edited by J. S. Birman and A. Libgober. Contemporary Mathematics 78. American Mathematical Society (Providence, RI), 1988. MR 975076 Zbl 0663.57008 incollection

[54] Braids: Proceedings of the AMS-IMS-SIAM joint summer research conference on Artin’s braid group (Santa Cruz, CA, 13–26 July 1986). Edited by J. S. Birman and A. Libgober. Contemporary Mathematics 78. American Mathematical Society (Providence, RI), 1988. Zbl 0651.00010 book

[55] : “Braids, link polynomials and a new algebra,” Trans. Am. Math. Soc. 313 : 1 (1989), pp. 249–273. MR 992598 Zbl 0684.57004 article

[56]
:
“Studying links via closed braids, IV: Composite links and split links,”
Invent. Math.
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[57]
:
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1990.
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[58] : “Recent developments in braid and link theory,” Math. Intell. 13 : 1 (1991), pp. 52–60. MR 1084535 Zbl 0713.57002 article

[59]
:
“Studying links via closed braids, II: On a theorem of Bennequin,”
Topology Appl.
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Parts I, III, and VI were published in *Pac. J. Math.* **154**:1 (1992), **161**:1 (1993) and **156**:2 (1992); Part IV was published in *Invent. Math.* **102**:1 (1990); Part V was published in *Trans. Am. Math. Soc.* **329**:2 (1992).
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[60] : “In her own words: Six mathematicians comment on their lives and careers,” Notices Am. Math. Soc. 38 : 7 (1991), pp. 702–706. MR 1125373 Zbl 0741.01032 article

[61]
:
“The work of Vaughan F. R. Jones,”
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Mathematical Society of Japan (Tokyo),
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[62] : “A progress report on the study of links via closed braids,” pp. 869–895 in Mathematische Wissenschaften gestern und heute. 300 Jahre Mathematische Gesellschaf in Hamburg, Teil 4 [Mathematical sciences yesterday and today: 300 years of the Hamburg Mathematical Society, part 4], published as Mitt. Math. Ges. Hamburg 12 : 4. Issue edited by R. Carlsson. 1991. MR 1175012 Zbl 0890.57010 incollection

[63] : “Book review: F. M. Goodman, P. de la Harpe and V. F. R. Jones, ‘Coxeter graphs and towers of algebras’,” Bull. Am. Math. Soc. (N.S.) 25 : 1 (1991), pp. 195–199. MR 1567945 article

[64]
:
“Studying links via closed braids, V: The unlink,”
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329 : 2
(February 1992),
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Parts I, III and VI were published in *Pac. J. Math.* **154**:1 (1992), **161**:1 (1993) and **156**:2 (1992); Part II was published in *Topology Appl.* **40**:1 (1991); Part IV was published in *Invent. Math.* **102**:1 (1990).
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[65]
:
“Studying links via closed braids, I: A finiteness theorem,”
Pacific J. Math.
154 : 1
(May 1992),
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Part II was published in *Topology Appl.* **40**:1 (1991); Part IV was published in *Invent. Math.* **102**:1 (1990); Part V was published in *Trans. Am. Math. Soc.* **329**:2 (1992).
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1154731
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[66]
:
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Math. Intell.
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[67] : “A calculus on links in the 3-sphere,” pp. 625–631 in Knots 90 (Osaka, 15–19 August 1990). Edited by A. Kawauchi. de Gruyter (Berlin), 1992. MR 1177450 Zbl 0764.57005 incollection

[68]
:
“Studying links via closed braids, VI: A nonfiniteness theorem,”
Pacific J. Math.
156 : 2
(December 1992),
pp. 265–285.
Part II was published in *Topology Appl.* **40**:1 (1991); Part IV was published in *Invent. Math.* **102**:1 (1990); Part V was published in *Trans. Am. Math. Soc.* **329**:2 (1992).
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[69] : A new look at knot polynomials, 1992. 60 minute VHS videocassette. MR 1201149 Zbl 0821.57001 misc

[70] : “New points of view in knot theory,” Bull. Am. Math. Soc. (N.S.) 28 : 2 (1993), pp. 253–287. MR 1191478 Zbl 0785.57001 article

[71] : “Knot polynomials and Vassiliev’s invariants,” Invent. Math. 111 : 2 (1993), pp. 225–270. MR 1198809 Zbl 0812.57011 article

[72]
:
“Studying links via closed braids, III: Classifying links which are closed 3-braids,”
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[73]
:
“Special positions for essential tori in link complements,”
Topology
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[74] The mathematical legacy of Wilhelm Magnus: Groups, geometry and special functions (Brooklyn, NY, 1–3 May 1992). Edited by W. Abikoff, J. S. Birman, and K. Kuiken. American Mathematical Society (Providence, RI), 1994. MR 1292894 Zbl 0801.00023 book

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[76]
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[80] : “Book review: Charles Livingston, ‘Knot theory’,” Am. Math. Monthly 102 : 8 (October 1995), pp. 755–757. MR 1542746 article

[81] “The braid groups, knots and algebraic geometry,” pp. 1–4 in Special issue on braid groups and related topics (Jerusalem, May 1995), published as Topology Appl. 78 : 1–2. Issue edited by J. S. Birman and M. Teicher. Elsevier (Amsterdam), July 1997. Editorial. incollection

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[89] : “Holonomic and Legendrian parametrizations of knots,” J. Knot Theor. Ramif. 9 : 3 (May 2000), pp. 293–309. MR 1753797 Zbl 1001.57015 article

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[94] “Joan S. Birman: Publications and Ph.D. theses supervised,” pp. xiii–xvi in Knots, braids, and mapping class groups: Papers dedicated to Joan S. Birman (New York, 14–15 March 1998). Edited by J. Gilman, W. W. Menasco, and X.-S. Lin. AMS/IP Studies in Advanced Mathematics 24. American Mathematical Society (Providence, RI), 2001. MR 1873103 Zbl 0988.01500 incollection

[95] : “On Markov’s theorem,” pp. 295–310 in Knots 2000 Korea (Volume 1) (Yongpyong, Korea, 31 July–5 August 2000), published as J. Knot Theor. Ramif. 11 : 3. Issue edited by J. S. Birman, C. M. Gordon, G. T. Jin, L. H. Kauffman, A. Kawauchi, K. H. Ko, J. P. Levine, and Y. Matsumoto. World Scientific (Singapore), 2002. MR 1905686 Zbl 1059.57002 incollection

[96] : “Towards an implementation of the B–H algorithm for recognizing the unknot,” pp. 601–645 in Knots 2000 Korea (Volume 2) (Yongpyong, Korea, 31 July–5 August 2000), published as J. Knot Theor. Ramif. 11 : 4. Issue edited by J. S. Birman, C. M. Gordon, G. T. Jin, L. H. Kauffman, A. Kawauchi, K. H. Ko, J. P. Levine, and Y. Matsumoto. World Scientific (Hackensack, NJ), 2002. MR 1915499 Zbl 1007.57004 incollection

[97] Knots 2000 Korea (Volume 1) (Yongpyong, South Korea, 31 July–5 August 2000), published as J. Knot Theor. Ramif. 11 : 3. Issue edited by J. S. Birman, C. M. Gordon, G. T. Jin, L. H. Kauffman, A. Kawauchi, K. H. Ko, J. P. Levine, and Y. Matsumoto. World Scientific (Singapore), 2002. Zbl 0995.00510 book

[98] Knots 2000 Korea (Volume 3) (Yongpyong, South Korea, 31 July–5 August 2000), published as J. Knot Theor. Ramif. 11 : 6. Issue edited by J. S. Birman, C. M. Gordon, G. T. Jin, L. H. Kauffman, A. Kawauchi, K. H. Ko, J. P. Levine, and Y. Matsumoto. World Scientific (Singapore), September 2002. Zbl 1018.00508 book

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[101]
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“Erratum: ‘Studying links via closed braids, IV: Composite links and split links’,”
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[102] : “Braids: A survey,” Chapter 2, pp. 19–103 in Handbook of knot theory. Edited by W. Menasco and M. Thistlethwaite. Elsevier B. V. (Amsterdam), 2005. MR 2179260 Zbl 1094.57006 incollection

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