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Combinatorial Floer homology

Author: Vin De Silva; Joel W Robbin; D Salamon
Publisher: Providence, Rhode Island : American Mathematical Society, 2013. ©2013
Series: Memoirs of the American Mathematical Society, Volume 230, no. 1080.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:

The authors define combinatorial Floer homology of a transverse pair of noncontractible nonisotopic embedded loops in an oriented 2 -manifold without boundary, prove that it is invariant under  Read more...

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Genre/Form: Electronic books
Additional Physical Format: Print version:
De Silva, Vin, 1971-
Combinatorial Floer homology.
Providence, Rhode Island : American Mathematical Society, ©2013
v, 114 pages
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Vin De Silva; Joel W Robbin; D Salamon
ISBN: 9781470416706 1470416700
OCLC Number: 908065663
Notes: "Volume 230, Number 1080 (second of 5 numbers)."
Description: 1 online resource (126 pages) : illustrations (some color).
Contents: ""Contents""; ""Chapter 1. Introduction""; ""Part I. The Viterbo�Maslov Index""; ""Chapter 2. Chains and Traces""; ""Chapter 3. The Maslov Index""; ""Chapter 4. The Simply Connected Case""; ""Chapter 5. The Non Simply Connected Case""; ""Part II. Combinatorial Lunes""; ""Chapter 6. Lunes and Traces""; ""Chapter 7. Arcs""; ""Chapter 8. Combinatorial Lunes""; ""Part III. Floer Homology""; ""Chapter 9. Combinatorial Floer Homology""; ""Chapter 10. Hearts""; ""Chapter 11. Invariance under Isotopy""; ""Chapter 12. Lunes and Holomorphic Strips""; ""Chapter 13. Further Developments"" ""Floer Homology""""Moduli Spaces""; ""The Donaldson Triangle Product""; ""The Fukaya Category""; ""Appendices""; ""Appendix A. The Space of Paths""; ""Appendix B. Diffeomorphisms of the Half Disc""; ""Appendix C. Homological Algebra""; ""Appendix D. Asymptotic behavior of holomorphic strips""; ""Bibliography""; ""Index""
Series Title: Memoirs of the American Mathematical Society, Volume 230, no. 1080.
Responsibility: Vin de Silva, Joel W. Robbin, Dietmar A. Salamon.

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