Volume 6, issue 3 (2006)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 25
Issue 3, 1265–1915
Issue 2, 645–1264
Issue 1, 1–644

Volume 24, 9 issues

Volume 23, 9 issues

Volume 22, 8 issues

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the Journal
Editorial Board
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN 1472-2739 (online)
ISSN 1472-2747 (print)
Author Index
To Appear
 
Other MSP Journals
Cosmetic surgeries on genus one knots

Jiajun Wang

Algebraic & Geometric Topology 6 (2006) 1491–1517
Bibliography
1 T M Apostol, Introduction to analytic number theory, Springer (1976) MR0434929
2 S A Bleiler, C D Hodgson, J R Weeks, Cosmetic surgery on knots, from: "Proceedings of the Kirbyfest (Berkeley, CA, 1998)", Geom. Topol. Monogr. 2, Geom. Topol. Publ., Coventry (1999) 23 MR1734400
3 R Dvornicich, On an equation in cyclotomic numbers, Acta Arith. 98 (2001) 71 MR1831457
4 E Eftekhary, Longitude Floer homology and the Whitehead double, Algebr. Geom. Topol. 5 (2005) 1389 MR2171814
5 V Ennola, On relations between cyclotomic units, J. Number Theory 4 (1972) 236 MR0299585
6 R Fintushel, R J Stern, Constructing lens spaces by surgery on knots, Math. Z. 175 (1980) 33 MR595630
7 W Franz, Uber die Torsion einer Überdeckung, J. Reine Angew. Math. 173 (1935) 245
8 D Gabai, Foliations and the topology of 3–manifolds II, J. Differential Geom. 26 (1987) 461 MR910017
9 P Ghiggini, Knot Floer homology detects genus-one fibred links arXiv:math.GT/0603445
10 C M Gordon, J Luecke, Knots are determined by their complements, J. Amer. Math. Soc. 2 (1989) 371 MR965210
11 M Hedden, On knot Floer homology and cabling, Algebr. Geom. Topol. 5 (2005) 1197 MR2171808
12 M Jankins, W D Neumann, Lectures on Seifert manifolds, Brandeis Lecture Notes 2, Brandeis University (1983) MR741334
13 T Kadokami, Reidemeister torsion of homology lens spaces, from: "Proceedings of the east asian school of knots, links, and related topics (Seoul, Korea)" (2004)
14 R Kirby, Problems in low-dimensional topology, from: "Geometric topology (Athens, GA, 1993)", AMS/IP Stud. Adv. Math. 2, Amer. Math. Soc. (1997) 35 MR1470751
15 P B Kronheimer, T Mrowka, P S Ozsváth, Z Szabó, Monopoles and lens space surgeries arXiv:math.GT/0310164
16 M Lackenby, Dehn surgery on knots in 3–manifolds, J. Amer. Math. Soc. 10 (1997) 835 MR1443548
17 Y Mathieu, Closed 3–manifolds unchanged by Dehn surgery, J. Knot Theory Ramifications 1 (1992) 279 MR1180402
18 J Milnor, Whitehead torsion, Bull. Amer. Math. Soc. 72 (1966) 358 MR0196736
19 Y Ni, Closed 3–braids are nearly fibred arXiv:math.GT/0510243
20 Y Ni, Knot Floer homology detects fibred knots arXiv:math.GT/0607156
21 Y Ni, Sutured Heegaard diagrams for knots, Algebr. Geom. Topol. 6 (2006) 513 MR2220687
22 P Ozsváth, Z Szabó, Knot Floer homology and rational surgeries arXiv:math.GT/0504404
23 P Ozsváth, Z Szabó, Absolutely graded Floer homologies and intersection forms for four-manifolds with boundary, Adv. Math. 173 (2003) 179 MR1957829
24 P Ozsváth, Z Szabó, On the Floer homology of plumbed three-manifolds, Geom. Topol. 7 (2003) 185 MR1988284
25 P Ozsváth, Z Szabó, Heegaard diagrams and holomorphic disks, from: "Different faces of geometry", Int. Math. Ser. (N. Y.) 3, Kluwer/Plenum, New York (2004) 301 MR2102999
26 P Ozsváth, Z Szabó, Holomorphic disks and topological invariants for closed three-manifolds, Ann. of Math. $(2)$ 159 (2004) 1027 MR2113019
27 P Ozsváth, Z Szabó, Knot Floer homology, genus bounds, and mutation, Topology Appl. 141 (2004) 59 MR2058681
28 G de Rham, S Maumary, M A Kervaire, Torsion et type simple d'homotopie, Lecture Notes in Mathematics 48, Springer (1967) MR0222893
29 Y W Rong, Some knots not determined by their complements, from: "Quantum topology", Ser. Knots Everything 3, World Sci. Publ., River Edge, NJ (1993) 339 MR1273583
30 R Rustamov, The renormalized Euler characteristic and L-space surgeries arXiv:math.GT/0506320
31 T Sakai, Reidemeister torsion of a homology lens space, Kobe J. Math. 1 (1984) 47 MR784347
32 V G Turaev, Reidemeister torsion and the Alexander polynomial, Mat. Sb. $($N.S.$)$ 18(66) (1976) 252 MR0433462
33 V Turaev, Introduction to combinatorial torsions, Lectures in Mathematics ETH Zürich, Birkhäuser Verlag (2001) MR1809561
34 L C Washington, Introduction to cyclotomic fields, Graduate Texts in Mathematics 83, Springer (1997) MR1421575