Celebratio Mathematica

Joan S. Birman

My work with Joan Birman

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J. S. Birman: 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). MR 0375281 Zbl 0305.​57013 book

J. S. Birman and W. W. Menasco: “Study­ing links via closed braids, IV: Com­pos­ite links and split links,” In­vent. Math. 102 : 1 (December 1990), pp. 115–​139. An er­rat­um for this art­icle was pub­lished in In­vent. Math. 160:2 (2005); 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 V was pub­lished in Trans. Am. Math. Soc. 329:2 (1992). MR 1069243 Zbl 0711.​57006 article

J. S. Birman and W. W. Menasco: “Study­ing links via closed braids, II: On a the­or­em of Ben­nequin,” To­po­logy Ap­pl. 40 : 1 (June 1991), pp. 71–​82. 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). MR 1114092 Zbl 0722.​57001 article

J. S. Birman and W. W. Menasco: “Study­ing links via closed braids, V: The un­link,” Trans. Am. Math. Soc. 329 : 2 (February 1992), pp. 585–​606. 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). MR 1030509 Zbl 0758.​57005 article

J. S. Birman and W. W. Menasco: “Study­ing links via closed braids, I: A fi­nite­ness the­or­em,” Pa­cific J. Math. 154 : 1 (May 1992), pp. 17–​36. 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). MR 1154731 Zbl 0724.​57001 article

J. S. Birman and W. W. Menasco: “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

J. S. Birman and W. W. Menasco: “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). MR 1186805 Zbl 0739.​57002 article

J. S. Birman and W. W. Menasco: “Study­ing links via closed braids, III: Clas­si­fy­ing links which are closed 3-braids,” Pa­cific J. Math. 161 : 1 (November 1993), pp. 25–​113. 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). MR 1237139 Zbl 0813.​57010 article

J. S. Birman and W. W. Menasco: “Spe­cial po­s­i­tions for es­sen­tial tori in link com­ple­ments,” To­po­logy 33 : 3 (July 1994), pp. 525–​556. An er­rat­um for this art­icle was pub­lished in To­po­logy 37:1 (1998). MR 1286930 Zbl 0833.​57004 article

J. S. Birman and N. C. Wrinkle: “On trans­vers­ally simple knots,” J. Diff. Geom. 55 : 2 (2000), pp. 325–​354. MR 1847313 Zbl 1026.​57005 article

J. S. Birman and W. W. Menasco: “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

J. S. Birman and W. W. Menasco: “Sta­bil­iz­a­tion in the braid groups, I: MT­WS,” Geom. To­pol. 10 : 1 (2006), pp. 413–​540. MR 2224463 Zbl 1128.​57003 article

J. S. Birman and W. W. Menasco: “Sta­bil­iz­a­tion in the braid groups, II: Trans­vers­al sim­pli­city of knots,” Geom. To­pol. 10 : 3 (2006), pp. 1425–​1452. MR 2255503 Zbl 1130.​57005 ArXiv math.​GT/​0310280 article

J. S. Birman and W. W. Menasco: “A note on closed 3-braids,” Com­mun. Con­temp. Math. 10 : supplement 1 (November 2008), pp. 1033–​1047. MR 2468377 Zbl 1158.​57006 article