Algebraic & Geometric Topology Volume 8, issue 1 (2008)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Subscriptions

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN 1472-2739 (online)

ISSN 1472-2747 (print)

Author Index

To Appear

Other MSP Journals

Floer homology of families I

Michael Hutchings

Algebraic & Geometric Topology 8 (2008) 435–492

DOI: 10.2140/agt.2008.8.435

Bibliography

1	D M Austin, P J Braam, Morse–Bott theory and equivariant cohomology, from: "The Floer memorial volume", Progr. Math. 133, Birkhäuser (1995) 123 MR1362827
2	J F Barraud, O Cornea, Lagrangian intersections and the Serre spectral sequence, Annals of Math. 166 (2007) 657
3	P Biran, Lagrangian barriers and symplectic embeddings, Geom. Funct. Anal. 11 (2001) 407 MR1844078
4	J M Bismut, S Goette, Families torsion and Morse functions, Astérisque (2001) MR1867006
5	R Bott, An application of the Morse theory to the topology of Lie-groups, Bull. Soc. Math. France 84 (1956) 251 MR0087035
6	R Bott, Morse theory indomitable, Inst. Hautes Études Sci. Publ. Math. (1988) MR1001450
7	F Bourgeois, Contact homology and homotopy groups of the space of contact structures, Math. Res. Lett. 13 (2006) 71 MR2200047
8	Y Chekanov, Differential algebra of Legendrian links, Invent. Math. 150 (2002) 441 MR1946550
9	R Cohen, J Jones, G Segal, Morse theory and classifying spaces, Warwick Univ. preprint (1995)
10	O Cornea, A Ranicki, Rigidity and gluing for Morse and Novikov complexes, J. Eur. Math. Soc. $($JEMS$)$ 5 (2003) 343 MR2017851
11	T Ekholm, T Kálmán, Isotopies of Legendrian $1$–knots and Legendrian $2$–tori arXiv:0710.4382
12	Y Eliashberg, A Givental, H Hofer, Introduction to symplectic field theory, Geom. Funct. Anal. (2000) 560 MR1826267
13	J B Etnyre, L L Ng, J M Sabloff, Invariants of Legendrian knots and coherent orientations, J. Symplectic Geom. 1 (2002) 321 MR1959585
14	A Floer, Morse theory for Lagrangian intersections, J. Differential Geom. 28 (1988) 513 MR965228
15	K Fukaya, Floer homology of connected sum of homology $3$–spheres, Topology 35 (1996) 89 MR1367277
16	K Fukaya, Floer homology for families – report of a project in progress, preprint (2001) MR1905880
17	K Fukaya, P Seidel, I Smith, The symplectic geometry of cotangent bundles from a categorical viewpoint arXiv:0705.3450
18	H Geiges, J Gonzalo Perez, On the topology of the space of contact structures on torus bundles, Bull. London Math. Soc. 36 (2004) 640 MR2070440
19	A Hatcher, Algebraic topology, Cambridge University Press (2002) MR1867354
20	H Hofer, D A Salamon, Floer homology and Novikov rings, from: "The Floer memorial volume", Progr. Math. 133, Birkhäuser (1995) 483 MR1362838
21	M Hutchings, Floer homology of families II: symplectomorphisms, in preparation
22	M Hutchings, Reidemeister torsion in generalized Morse theory, Forum Math. 14 (2002) 209 MR1880912
23	M Hutchings, Y J Lee, Circle-valued Morse theory, Reidemeister torsion, and Seiberg–Witten invariants of $3$–manifolds, Topology 38 (1999) 861 MR1679802
24	T Kálmán, Contact homology and one parameter families of Legendrian knots, Geom. Topol. 9 (2005) 2013 MR2209366
25	P Kronheimer, T Mrowka, Monopoles and three-manifolds, New Mathematical Monographs 10, Cambridge University Press (2007)
26	P Kronheimer, T Mrowka, P Ozsváth, Z Szabó, Monopoles and lens space surgeries, Ann. of Math. $(2)$ 165 (2007) 457 MR2299739
27	J Latschev, A generalization of the Morse complex, PhD thesis, SUNY Stony Brook (1998)
28	F Laudenbach, On the Thom–Smale complex, Astérisque (1992) 219
29	D McDuff, D Salamon, $J$–holomorphic curves and quantum cohomology, University Lecture Series 6, Amer. Math. Soc. (1994) MR1286255
30	A Oancea, Fibered symplectic cohomology and the Leray–Serre spectral sequence arXiv:math/0503193
31	A Oancea, La suite spectrale de Leray–Serre en homologie de Floer des variétés symplectiques compactes à bord de type contact, PhD thesis, Université Paris Sud, Orsay (2003)
32	P Ozsváth, Z Szabó, Holomorphic disks and topological invariants for closed three-manifolds, Ann. of Math. $(2)$ 159 (2004) 1027 MR2113019
33	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
34	J Robbin, D Salamon, The spectral flow and the Maslov index, Bull. London Math. Soc. 27 (1995) 1 MR1331677
35	D Salamon, Lectures on Floer homology, from: "Symplectic geometry and topology (Park City, UT, 1997)" (editor Y Eliashberg), IAS/Park City Math. Ser. 7, Amer. Math. Soc. (1999) 143 MR1702944
36	Y Savelyev, Quantum characteristic classes and the Hofer metric arXiv:0709.4510
37	M Schwarz, Morse homology, Progress in Mathematics 111, Birkhäuser Verlag (1993) MR1239174
38	P Seidel, Floer homology and the symplectic isotopy problem, PhD thesis, Oxford University (1997)
39	P Seidel, $\pi_1$ of symplectic automorphism groups and invertibles in quantum homology rings, Geom. Funct. Anal. 7 (1997) 1046 MR1487754
40	C Viterbo, Functors and computations in Floer homology with applications. I, Geom. Funct. Anal. 9 (1999) 985 MR1726235
41	E Witten, Supersymmetry and Morse theory, J. Differential Geom. 17 (1982) MR683171