Volume 2, issue 1 (2002)

Download this article
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
Controlled connectivity of closed 1–forms

D Schütz

Algebraic & Geometric Topology 2 (2002) 171–217
Bibliography
1 R Bieri, The geometric invariants of a group. A survey with emphasis on the homotopical approach, from: "Geometric group theory, Vol. 1 (Sussex, 1991)", London Math. Soc. Lecture Note Ser. 181, Cambridge Univ. Press (1993) 24 MR1238513
2 R Bieri, R Geoghegan, Connectivity properties of group actions on non-positively curved spaces, Mem. Amer. Math. Soc. 161 (2003) MR1950396
3 R Bieri, R Geoghegan, Kernels of actions on non-positively curved spaces, from: "Geometry and cohomology in group theory (Durham, 1994)", London Math. Soc. Lecture Note Ser. 252, Cambridge Univ. Press (1998) 24 MR1709950
4 R Bieri, W D Neumann, R Strebel, A geometric invariant of discrete groups, Invent. Math. 90 (1987) 451 MR914846
5 R Bieri, B Renz, Valuations on free resolutions and higher geometric invariants of groups, Comment. Math. Helv. 63 (1988) 464 MR960770
6 K S Brown, Finiteness properties of groups, from: "Proceedings of the Northwestern conference on cohomology of groups (Evanston, Ill., 1985)" (1987) 45 MR885095
7 P M Cohn, Free rings and their relations, London Mathematical Society Monographs 19, Academic Press (1985) MR800091
8 O Cornea, A Ranicki, Rigidity and gluing for Morse and Novikov complexes, J. Eur. Math. Soc. $($JEMS$)$ 5 (2003) 343 MR2017851
9 M Damian, Formes fermées non singulières et propriétés de finitude des groupes, Ann. Sci. École Norm. Sup. $(4)$ 33 (2000) 301 MR1775183
10 A Dold, Lectures on algebraic topology, Die Grundlehren der mathematischen Wissenschaften 200, Springer (1972) MR0415602
11 M S Farber, Sharpness of the Novikov inequalities, Funktsional. Anal. i Prilozhen. 19 (1985) 49, 96 MR783706
12 M Farber, Morse–Novikov critical point theory, Cohn localization and Dirichlet units, Commun. Contemp. Math. 1 (1999) 467 MR1719699
13 M Farber, A Ranicki, The Morse–Novikov theory of circle-valued functions and noncommutative localization, Tr. Mat. Inst. Steklova 225 (1999) 381 MR1725953
14 F T Farrell, The obstruction to fibering a manifold over a circle, PhD thesis, Yale University (1967)
15 F T Farrell, The obstruction to fibering a manifold over a circle, from: "Actes du Congrès International des Mathématiciens (Nice, 1970), Tome 2", Gauthier-Villars (1971) 69 MR0423376
16 R Geoghegan, Topological methods in group theory, Graduate Texts in Mathematics 243, Springer (2008) MR2365352
17 M Hutchings, Y J Lee, Circle-valued Morse theory, Reidemeister torsion, and Seiberg–Witten invariants of 3–manifolds, Topology 38 (1999) 861 MR1679802
18 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
19 J Milnor, Lectures on the $h$–cobordism theorem, Notes by L. Siebenmann and J. Sondow, Princeton University Press (1965) MR0190942
20 J Milnor, Whitehead torsion, Bull. Amer. Math. Soc. 72 (1966) 358 MR0196736
21 S P Novikov, Multivalued functions and functionals. An analogue of the Morse theory, Dokl. Akad. Nauk SSSR 260 (1981) 31 MR630459
22 A V Pazhitnov, On the sharpness of inequalities of Novikov type for manifolds with a free abelian fundamental group, Mat. Sb. 180 (1989) 1486, 1584 MR1034426
23 A V Pazhitnov, On the Novikov complex for rational Morse forms, Ann. Fac. Sci. Toulouse Math. $(6)$ 4 (1995) 297 MR1344724
24 A V Pazhitnov, Surgery on the Novikov complex, $K$–Theory 10 (1996) 323 MR1404410
25 A Pajitnov, Incidence coefficients in the Novikov complex for Morse forms: rationality and exponential growth properties, arXiv:math.DG/9604004
26 A Pajitnov, $C^0$–generic properties of boundary operators in the Novikov complex, from: "Pseudoperiodic topology", Amer. Math. Soc. Transl. Ser. 2 197, Amer. Math. Soc. (1999) 29 MR1733870
27 M Poźniak, Floer homology, Novikov rings and clean intersections, from: "Northern California Symplectic Geometry Seminar", Amer. Math. Soc. Transl. Ser. 2 196, Amer. Math. Soc. (1999) 119 MR1736217
28 A Ranicki, Finite domination and Novikov rings, Topology 34 (1995) 619 MR1341811
29 A Ranicki, The algebraic construction of the Novikov complex of a circle-valued Morse function, Math. Ann. 322 (2002) 745 MR1905105
30 B Renz, thesis, University of Frankfurt (1987)
31 D Schütz, Gradient flows of closed 1–forms and their closed orbits, Forum Math. 14 (2002) 509 MR1900172
32 D Schütz, One-parameter fixed-point theory and gradient flows of closed 1–forms, $K$–Theory 25 (2002) 59 MR1899700
33 M Schwarz, Morse homology, Progress in Mathematics 111, Birkhäuser Verlag (1993) MR1239174
34 M Schwarz, Equivalences for Morse homology, from: "Geometry and topology in dynamics (Winston–Salem, NC, 1998/San Antonio, TX, 1999)", Contemp. Math. 246, Amer. Math. Soc. (1999) 197 MR1732382
35 V V Sharko, The stable algebra of Morse theory, Izv. Akad. Nauk SSSR Ser. Mat. 54 (1990) 607, 656 MR1072697
36 L C Siebenmann, A total Whitehead torsion obstruction to fibering over the circle, Comment. Math. Helv. 45 (1970) 1 MR0287564