Volume 3, issue 1 (1999)

Download this article
For printing
Recent Issues

Volume 23
Issue 2, 541–1084
Issue 1, 1–540

Volume 22, 7 issues

Volume 21, 6 issues

Volume 20, 6 issues

Volume 19, 6 issues

Volume 18, 5 issues

Volume 17, 5 issues

Volume 16, 4 issues

Volume 15, 4 issues

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 5 issues

Volume 11, 4 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 3 issues

Volume 7, 2 issues

Volume 6, 2 issues

Volume 5, 2 issues

Volume 4, 1 issue

Volume 3, 1 issue

Volume 2, 1 issue

Volume 1, 1 issue

The Journal
About the Journal
Subscriptions
Editorial Board
Editorial Interests
Editorial Procedure
Submission Guidelines
Submission Page
Ethics Statement
Author Index
To Appear
ISSN (electronic): 1364-0380
ISSN (print): 1465-3060
Other MSP Journals
Circle-valued Morse theory and Reidemeister torsion

Michael Hutchings and Yi-Jen Lee

Geometry & Topology 3 (1999) 369–396
Bibliography
1 R F Brown, The Lefschetz fixed point theorem, Scott, Foresman and Co. (1971) MR0283793
2 D Fried, Homological identities for closed orbits, Invent. Math. 71 (1983) 419 MR689651
3 D Fried, Lefschetz formulas for flows, from: "The Lefschetz centennial conference, Part III (Mexico City, 1984)", Contemp. Math. 58, Amer. Math. Soc. (1987) 19 MR893856
4 K Fukaya, The symplectic $s$–cobordism conjecture: a summary, from: "Geometry and physics (Aarhus, 1995)", Lecture Notes in Pure and Appl. Math. 184, Dekker (1997) 209 MR1423167
5 H Hofer, D A Salamon, Floer homology and Novikov rings, from: "The Floer memorial volume", Progr. Math. 133, Birkhäuser (1995) 483 MR1362838
6 M Hutchings, Reidemeister torsion in generalized Morse theory, Forum Math. 14 (2002) 209 MR1880912
7 M Hutchings, Y J Lee, Circle-valued Morse theory, Reidemeister torsion, and Seiberg–Witten invariants of 3–manifolds, Topology 38 (1999) 861 MR1679802
8 E N Ionel, T H Parker, Gromov invariants and symplectic maps, Math. Ann. 314 (1999) 127 MR1689266
9 P B Kronheimer, T S Mrowka, The genus of embedded surfaces in the projective plane, Math. Res. Lett. 1 (1994) 797 MR1306022
10 F Latour, Existence de 1–formes fermées non singulières dans une classe de cohomologie de de Rham, Inst. Hautes Études Sci. Publ. Math. (1994) MR1320607
11 J M Bismut, W Zhang, An extension of a theorem by Cheeger and Müller, Astérisque (1992) 235 MR1185803
12 Y J Lee, Morse theory and Seiberg–Witten monopoles on 3–manifolds, PhD thesis, Harvard University (1997)
13 Y Lim, Seiberg–Witten theory of 3–manifolds, preprint (1996)
14 G Meng, C H Taubes, $\underline{\mathrm{SW}}=\mathrm{Milnor torsion}$, Math. Res. Lett. 3 (1996) 661 MR1418579
15 J Milnor, Infinite cyclic coverings, from: "Collected works vol. 2", Publish or Perish (1996)
16 J Milnor, Whitehead torsion, Bull. Amer. Math. Soc. 72 (1966) 358 MR0196736
17 S P Novikov, Multivalued functions and functionals. An analogue of the Morse theory, Dokl. Akad. Nauk SSSR 260 (1981) 31 MR630459
18 C Okonek, A Teleman, 3–dimensional Seiberg–Witten invariants and non-Kählerian geometry, Math. Ann. 312 (1998) 261 MR1671784
19 A V Pazhitnov, On the Novikov complex for rational Morse forms, Ann. Fac. Sci. Toulouse Math. $(6)$ 4 (1995) 297 MR1344724
20 A Pajitnov, Simple homotopy type of Novikov complex for closed 1–forms and Lefschetz zeta functions of the gradient flow, arXiv:dg-ga/9706014
21 M Pozniak, Floer homology, Novikov rings, and clean intersections, PhD thesis, University of Warwick (1994)
22 D A Salamon, Seiberg–Witten invariants of mapping tori, symplectic fixed points, and Lefschetz numbers, from: "Proceedings of 6th Gökova Geometry–Topology Conference" (1999) 117 MR1701642
23 E H Spanier, Algebraic topology, Springer (1981) MR666554
24 C H Taubes, The Seiberg–Witten and Gromov invariants, Math. Res. Lett. 2 (1995) 221 MR1324704
25 C H Taubes, Counting pseudo-holomorphic submanifolds in dimension $4$, J. Differential Geom. 44 (1996) 818 MR1438194
26 V G Turaev, Reidemeister torsion in knot theory, Uspekhi Mat. Nauk 41 (1986) 97, 240 MR832411
27 V G Turaev, Euler structures, nonsingular vector fields, and Reidemeister-type torsions, Izv. Akad. Nauk SSSR Ser. Mat. 53 (1989) 607, 672 MR1013714
28 V Turaev, Torsion invariants of $\mathrm{Spin}^c$–structures on 3–manifolds, Math. Res. Lett. 4 (1997) 679 MR1484699
29 V Turaev, A combinatorial formulation for the Seiberg–Witten invariants of 3–manifolds, Math. Res. Lett. 5 (1998) 583 MR1666856
30 A Weil, Numbers of solutions of equations in finite fields, Bull. Amer. Math. Soc. 55 (1949) 497 MR0029393