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June 2013 Handle attaching in wrapped Floer homology and brake orbits in classical Hamiltonian systems
Kei Irie
Osaka J. Math. 50(2): 363-396 (June 2013).

Abstract

The objective of this note is to prove an existence result for brake orbits in classical Hamiltonian systems (which was first proved by S.V. Bolotin) by using Floer theory. To this end, we compute an open string analogue of symplectic homology (so called wrapped Floer homology) of some domains in cotangent bundles, which appear naturally in the study of classical Hamiltonian systems. The main part of the computations is to show invariance of wrapped Floer homology under certain handle attaching to domains.

Citation

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Kei Irie. "Handle attaching in wrapped Floer homology and brake orbits in classical Hamiltonian systems." Osaka J. Math. 50 (2) 363 - 396, June 2013.

Information

Published: June 2013
First available in Project Euclid: 21 June 2013

zbMATH: 06196660
MathSciNet: MR3080805

Subjects:
Primary: 34C25
Secondary: 53D40

Rights: Copyright © 2013 Osaka University and Osaka City University, Departments of Mathematics

JOURNAL ARTICLE
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Vol.50 • No. 2 • June 2013
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