Celebratio Mathematica

Martin Scharlemann

Complete Bibliography

Works connected to Abigail A. Thompson

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M. Schar­le­mann and A. Thompson: “Find­ing dis­joint Seifert sur­faces,” Bull. Lon­don Math. Soc. 20 : 1 (January 1988), pp. 61–​64. MR 916076 Zbl 0654.​57005 article

M. Schar­le­mann and A. Thompson: “Un­knot­ting num­ber, genus, and com­pan­ion tori,” Math. Ann. 280 : 2 (March 1988), pp. 191–​205. MR 929535 Zbl 0616.​57003 article

M. Schar­le­mann and A. Thompson: “Link genus and the Con­way moves,” Com­ment. Math. Helv. 64 : 4 (1989), pp. 527–​535. MR 1022995 Zbl 0693.​57004 article

M. Schar­le­mann and A. Thompson: “De­tect­ing un­knot­ted graphs in 3-space,” J. Diff. Geom. 34 : 2 (1991), pp. 539–​560. MR 1131443 Zbl 0751.​05033 article

M. Schar­le­mann and A. Thompson: “Hee­gaard split­tings of \( (\textrm{surface})\times I \) are stand­ard,” Math. Ann. 295 : 3 (1993), pp. 549–​564. MR 1204837 Zbl 0814.​57010 article

M. Schar­le­mann and A. Thompson: “Thin po­s­i­tion and Hee­gaard split­tings of the 3-sphere,” J. Diff. Geom. 39 : 2 (1994), pp. 343–​357. MR 1267894 Zbl 0820.​57005 article

M. Schar­le­mann and A. Thompson: “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

M. Schar­le­mann and A. Thompson: “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

H. Goda, M. Schar­le­mann, and A. Thompson: “Lev­el­ling an un­knot­ting tun­nel,” Geom. To­pol. 4 (2000), pp. 243–​275. MR 1778174 Zbl 0958.​57007 ArXiv math/​9910099 article

M. Schar­le­mann and A. Thompson: “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

M. Schar­le­mann and A. Thompson: “Thin­ning genus two Hee­gaard spines in \( S^3 \),” J. Knot The­or. Ramif. 12 : 5 (2003), pp. 683–​708. MR 1999638 Zbl 1048.​57002 article

M. Schar­le­mann and A. Thompson: “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

M. Schar­le­mann and A. Thompson: “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

M. Schar­le­mann and A. A. Thompson: “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

R. E. Gom­pf, M. Schar­le­mann, and A. Thompson: “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