Volume 4 (2002)

Download this article
For screen
For printing
Recent Volumes
Volume 1, 1998
Volume 2, 1999
Volume 3, 2000
Volume 4, 2002
Volume 5, 2002
Volume 6, 2003
Volume 7, 2004
Volume 8, 2006
Volume 9, 2006
Volume 10, 2007
Volume 11, 2007
Volume 12, 2007
Volume 13, 2008
Volume 14, 2008
Volume 15, 2008
Volume 16, 2009
Volume 17, 2011
Volume 18, 2012
Volume 19, 2015
The Series
All Volumes
 
About this Series
Ethics Statement
Purchase Printed Copies
Author Index
ISSN (electronic): 1464-8997
ISSN (print): 1464-8989
 
MSP Books and Monographs
Other MSP Publications

Torsions of 3–manifolds

Vladimir Turaev

Geometry & Topology Monographs 4 (2002) 295–302

DOI: 10.2140/gtm.2002.4.295

Bibliography
1 D Auckly, The Thurston norm and three-dimensional Seiberg–Witten theory, Osaka J. Math. 33 (1996) 737–750 MR1424683
2 S Baldridge, Seiberg–Witten invariants of 4–manifolds with free circle actions, Commun. Contemp. Math. 3 (2001) 341–353 MR1849644
3 R Hartley, The Conway potential function for links, Comment. Math. Helv. 58 (1983) 365–378 MR727708
4 S L Harvey, Higher-order polynomial invariants of 3–manifolds giving lower bounds for the Thurston norm, Topology 44 (2005) 895–945 MR2153977
5 J A Hillman, Alexander ideals of links, Lecture Notes in Mathematics 895, Springer (1981) MR653808
6 P B Kronheimer, Minimal genus in S¹× M³, Invent. Math. 135 (1999) 45–61 MR1664695
7 P B Kronheimer, T S Mrowka, The genus of embedded surfaces in the projective plane, Math. Res. Lett. 1 (1994) 797–808 MR1306022
8 P B Kronheimer, T S Mrowka, Scalar curvature and the Thurston norm, Math. Res. Lett. 4 (1997) 931–937 MR1492131
9 C Lescop, Global surgery formula for the Casson–Walker invariant, Annals of Mathematics Studies 140, Princeton University Press (1996) MR1372947
10 J Levine, A method for generating link polynomials, Amer. J. Math. 89 (1967) 69–84 MR0224082
11 Y Lim, Seiberg–Witten invariants for 3–manifolds in the case b1=0 or 1, Pacific J. Math. 195 (2000) 179–204 MR1781619
12 M Marcolli, B L Wang, Exact triangles in Seiberg–Witten Floer theory IV: Z–graded monopole homology arXiv:math.DG/0009159
13 C T McMullen, The Alexander polynomial of a 3–manifold and the Thurston norm on cohomology, Ann. Sci. École Norm. Sup. (4) 35 (2002) 153–171 MR1914929
14 G Meng, C H Taubes, SW= Milnor torsion, Math. Res. Lett. 3 (1996) 661–674 MR1418579
15 L I Nicolaescu, Seiberg–Witten invariants of rational homology 3–spheres, Commun. Contemp. Math. 6 (2004) 833–866 MR2111431
16 P Ozsváth, Z Szabó, Holomorphic disks and three-manifold invariants: properties and applications, Ann. of Math. (2) 159 (2004) 1159–1245 MR2113020
17 W P Thurston, A norm for the homology of 3–manifolds, Mem. Amer. Math. Soc. 59 (1986) MR823443
18 V G Turaev, Euler structures, nonsingular vector fields, and Reidemeister-type torsions, Izv. Akad. Nauk SSSR Ser. Mat. 53 (1989) 607–643, 672 MR1013714
19 V Turaev, Torsion invariants of Spinc–structures on 3–manifolds, Math. Res. Lett. 4 (1997) 679–695 MR1484699
20 V Turaev, A combinatorial formulation for the Seiberg–Witten invariants of 3–manifolds, Math. Res. Lett. 5 (1998) 583–598 MR1666856
21 V Turaev, Introduction to combinatorial torsions, Lectures in Mathematics ETH Zürich, Birkhäuser Verlag (2001) MR1809561 Notes taken by Felix Schlenk
22 V Turaev, Surgery formula for torsions and Seiberg–Witten invariants of 3–manifolds arXiv:math.GT/0101108
23 V Turaev, A homological estimate for the Thurston norm arXiv:math.GT/0207267