Combinatorial Floer homology

著者

• De Silva, Vin
• Robbin, Joel W.
• Salamon, D. (Dietmar)

書誌事項

Combinatorial Floer homology

Vin de Silva, Joel W. Robbin, Dietmar A. Salamon

（Memoirs of the American Mathematical Society, no. 1080）

American Mathematical Society, 2014, c2013

注記

Includes bibliographical references (p. 111-112) and index

"Volume 230, number 1080 (second of 5 numbers), July 2014"

内容説明・目次

内容説明

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 isotopy, and prove that it is isomorphic to the original Lagrangian Floer homology. Their proof uses a formula for the Viterbo-Maslov index for a smooth lune in a 2-manifold.

目次

Introduction Part I. The Viterbo-Maslov Index: Chains and traces The Maslov index The simply connected case The Non simply connected case Part II. Combinatorial Lunes: Lunes and traces Arcs Combinatorial lunes Part III. Floer Homology: Combinatorial Floer homology Hearts Invariance under isotopy Lunes and holomorphic strips Further developments 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

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詳細情報

• NII書誌ID(NCID): BB15904801
• ISBN:
  • 9780821898864
• LCCN: 2014008204
• 出版国コード: us
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Providence, R. I.
• ページ数/冊数: v, 114 p.
• 大きさ: 26cm
• 分類:
  • LCC : QA665
  • DC23 : 516.3/6
• 件名:
  • LCSH : Floer homology
• 親書誌ID:
  • BA00035927