### 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 (March 1988), pp. 191–205. MR 929535 Zbl 0616.57003 article

: “Link genus and the Conway moves,” Comment. Math. Helv. 64 : 4 (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 __\( (\textrm{surface})\times I \)__ are standard,”
Math. Ann.
295 : 3
(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. 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/9910099 article

: “Unknotting tunnels and Seifert surfaces,” Proc. London Math. Soc. (3) 87 : 2 (2003), pp. 523–544. MR 1990938 Zbl 1047.57008 ArXiv math/0010212 article

: “
Thinning genus two Heegaard spines in __\( S^3 \)__,”
J. Knot Theor. Ramif.
12 : 5
(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 & Topology Monographs 7. Geometry & Topology Publications (Coventry, UK), 2004. Based on the 28th University of Arkansas spring lecture series in the mathematical sciences and a conference on the topology of manifolds of dimensions 3 and 4. This paper was “Dedicated to Andrew Casson, a mathematician’s mathematician.”. MR 2172481 Zbl 1207.57016 ArXiv math/0403326 incollection

: “Surfaces, submanifolds, and aligned Fox reimbedding in non-Haken 3-manifolds,” Proc. Am. Math. Soc. 133 : 6 (2005), pp. 1573–1580. MR 2120271 Zbl 1071.57015 ArXiv math/0308011 article

: “
Surgery on a knot in (surface __\( \times I \)__),”
Algebr. Geom. Topol.
9 : 3
(2009),
pp. 1825–1835.
MR
2550096
Zbl
1197.57011
ArXiv
0807.0405
article

Fibered knots and potential counterexamples to the property __\( 2{R} \)__ and slice-ribbon conjectures,”
Geom. Topol.
14 : 4
(2010),
pp. 2305–2347.
MR
2740649
Zbl
1214.57008
ArXiv
1103.1601
article