Volume 7, issue 3 (2007)

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

Volume 23
Issue 9, 3909–4400
Issue 8, 3417–3908
Issue 7, 2925–3415
Issue 6, 2415–2924
Issue 5, 1935–2414
Issue 4, 1463–1934
Issue 3, 963–1462
Issue 2, 509–962
Issue 1, 1–508

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
Editorial Interests
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
Author Index
To Appear
 
Other MSP Journals
Reidemeister torsion of Seifert fibered homology lens spaces and Dehn surgery

Teruhisa Kadokami

Algebraic & Geometric Topology 7 (2007) 1509–1529
Bibliography
1 S Boyer, D Lines, Surgery formulae for Casson's invariant and extensions to homology lens spaces, J. Reine Angew. Math. 405 (1990) 181 MR1041002
2 M Brittenham, Y Q Wu, The classification of exceptional Dehn surgeries on 2-bridge knots, Comm. Anal. Geom. 9 (2001) 97 MR1807953
3 M Culler, C M Gordon, J Luecke, P B Shalen, Dehn surgery on knots, Ann. of Math. $(2)$ 125 (1987) 237 MR881270
4 G de Rham, Complexes à automorphismes et homéomorphie différentiable, Ann. Inst. Fourier Grenoble 2 (1950) MR0043468
5 R Fintushel, R J Stern, Constructing lens spaces by surgery on knots, Math. Z. 175 (1980) 33 MR595630
6 T Kadokami, Reidemeister torsion and lens surgeries on knots in homology spheres II, preprint
7 T Kadokami, Reidemeister torsion and lens surgeries on knots in homology 3-spheres. I, Osaka J. Math. 43 (2006) 823 MR2303552
8 T Kadokami, Y Yamada, Reidemeister torsion and lens surgeries on $(-2,m,n)$-pretzel knots, Kobe J. Math. 23 (2006) 65 MR2279859
9 T Kadokami, Y Yamada, A deformation of the Alexander polynomials of knots yielding lens spaces, Bull. Austral. Math. Soc. 75 (2007) 75 MR2309549
10 K Miyazaki, K Motegi, Seifert fibred manifolds and Dehn surgery, Topology 36 (1997) 579 MR1415607
11 L Moser, Elementary surgery along a torus knot, Pacific J. Math. 38 (1971) 737 MR0383406
12 A Némethi, L I Nicolaescu, Seiberg-Witten invariants and surface singularities, Geom. Topol. 6 (2002) 269 MR1914570
13 L I Nicolaescu, The Reidemeister torsion of 3-manifolds, de Gruyter Studies in Mathematics 30, Walter de Gruyter & Co. (2003) MR1968575
14 P Orlik, Seifert manifolds, Lecture Notes in Mathematics 291, Springer (1972) MR0426001
15 T Sakai, Reidemeister torsion of a homology lens space, Kobe J. Math. 1 (1984) 47 MR784347
16 N Saveliev, Invariants for homology $3$-spheres, Encyclopaedia of Mathematical Sciences 140, Springer (2002) MR1941324
17 W Thurston, The Geometry and Topology of Three-Manifolds, Princeton Univ. Math. Dept. Lecture Notes, Electronic Version 1.1 (2002)
18 V G Turaev, Reidemeister torsion in knot theory, Uspekhi Mat. Nauk 41 (1986) 97, 240 MR832411
19 V Turaev, Introduction to combinatorial torsions, Lectures in Mathematics ETH Zürich, Birkhäuser Verlag (2001) MR1809561