Equivariant symplectic homology of Anosov contact structures
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- 作者：Leonardo Macarini (1)
Gabriel P. Paternain (2) - 关键词：Anosov contact structure ; Reeb flow ; equivariant symplectic homology ; 53D42 ; 37D20
- 刊名：Bulletin of the Brazilian Mathematical Society
- 出版年：2012
- 出版时间：December 2012
- 年：2012
- 卷：43
- 期：4
- 页码：513-527
- 全文大小：132KB
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Gabriel P. Paternain (2)
1. Instituto de Matem谩tica, Universidade Federal do Rio de Janeiro, Cidade Universit谩ria, 21941-909, Rio de Janeiro, RJ, Brazil
2. Department of Pure Mathematics and Mathematical Statistics, University of Cambridge, Cambridge, CB3 0WB, UK - ISSN：1678-7714
文摘
We show that the differential in positive equivariant symplectic homology or linearized contact homology vanishes for non-degenerate Reeb flows with a continuous invariant Lagrangian subbundle (e.g. Anosov Reeb flows). Several applications are given, including obstructions to the existence of these flows and abundance of periodic orbits for contact forms representing an Anosov contact structure.