Algebraic & Geometric Topology Volume 7, issue 3 (2007)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Editorial Interests

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

Other MSP Journals

Reidemeister torsion of Seifert fibered homology lens spaces and Dehn surgery

Teruhisa Kadokami

Algebraic & Geometric Topology 7 (2007) 1509–1529

DOI: 10.2140/agt.2007.7.1509

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