### Complete Bibliography

#### Works connected to ~~Abigail A. Thompson~~

#### Filter the Bibliography List

Finding disjoint Seifert surfaces,” Bull. London Math. Soc. 20 : 1 (January 1988), pp. 61–64. MR 916076 Zbl 0654.57005 article

: “Unknotting number, genus, and companion tori,” Math. Ann. 280 : 2 (1988), pp. 191–205. MR 929535 Zbl 0616.57003 article

: “Link genus and the Conway moves,” Comment. Math. Helv. 64 : 4 (December 1989), pp. 527–535. MR 1022995 Zbl 0693.57004 article

: “Detecting unknotted graphs in 3-space,” J. Diff. Geom. 34 : 2 (1991), pp. 539–560. MR 1131443 Zbl 0751.05033 article

: “
Heegaard splittings of __\( (\mathrm{surface})\times I \)__ are standard,”
Math. Ann.
295 : 3
(January 1993),
pp. 549–564.
MR
1204837
Zbl
0814.57010
article

Thin position and Heegaard splittings of the 3-sphere,” J. Diff. Geom. 39 : 2 (1994), pp. 343–357. MR 1267894 Zbl 0820.57005 article

: “Thin position for 3-manifolds,” pp. 231–238 in Geometric topology (Haifa, Israel, 10–16 June 1992). Edited by C. Gordon, Y. Moriah, and B. Wajnryb. Contemporary Mathematics 164. American Mathematical Society (Providence, RI), 1994. MR 1282766 Zbl 0818.57013 incollection

: “Pushing arcs and graphs around in handlebodies,” pp. 163–171 in Low-dimensional topology (Knoxville, TN, 18–25 May 1992). Edited by K. Johannson. Conference Proceedings and Lecture Notes in Geometry and Topology 3. International Press (Cambridge, MA), 1994. MR 1316180 Zbl 0868.57024 incollection

: “Levelling an unknotting tunnel,” Geom. Topol. 4 (2000), pp. 243–275. MR 1778174 Zbl 0958.57007 ArXiv math.GT/9910099 article

: “Unknotting tunnels and Seifert surfaces,” Proc. London Math. Soc. (3) 87 : 2 (September 2003), pp. 523–544. MR 1990938 Zbl 1047.57008 article

: “
Thinning genus two Heegaard spines in __\( S^3 \)__,”
J. Knot Theor. Ramif.
12 : 5
(August 2003),
pp. 683–708.
MR
1999638
Zbl
1048.57002
article

On the additivity of knot width,” pp. 135–144 in Proceedings of the Casson Fest (Fayetteville, AR, 10–12 April 2003 and Austin, TX, 19–21 May 2003). Edited by C. Gordon and Y. Rieck. Geometry and Topology Monographs 7. Geometry & Topology Publications (Coventry, UK), 2004. MR 2172481 Zbl 1207.57016 incollection

: “Surfaces, submanifolds, and aligned Fox reimbedding in non-Haken 3-manifolds,” Proc. Amer. Math. Soc. 133 : 6 (2005), pp. 1573–1580. MR 2120271 Zbl 1071.57015 article

: “
Surgery on a knot in (surface __\( \times I \)__),”
Algebr. Geom. Topol.
9 : 3
(2009),
pp. 1825–1835.
MR
2550096
Zbl
1197.57011
article

Fibered knots and potential counterexamples to the property 2R and slice-ribbon conjectures,” Geom. Topol. 14 : 4 (2010), pp. 2305–2347. MR 2740649 Zbl 1214.57008 article

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