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Simple homotopy type of the Hamiltonian Floer complex

For an aspherical symplectic manifold M, closed or with convex contact boundary, and with vanishing first Chern class, a Floer chain complex is defined for Hamiltonians linear at infinity with coefficients in the group ring of the fundamental group of M. For two non-degenerate Hamiltonians of the same slope continuation maps are shown to be simple homotopy equivalences. As a corollary the number of contractible Hamiltonian orbits of period 1 can be bounded from below.

Identiferoai:union.ndltd.org:UPSALLA1/oai:DiVA.org:uu-393298
Date January 2019
CreatorsPöder Balkeståhl, Sebastian
PublisherUppsala universitet, Matematiska institutionen
Source SetsDiVA Archive at Upsalla University
LanguageEnglish
Detected LanguageEnglish
TypeLicentiate thesis, monograph, info:eu-repo/semantics/masterThesis, text
Formatapplication/pdf
Rightsinfo:eu-repo/semantics/openAccess
RelationU.U.D.M. report / Uppsala University, Department of Mathematics, 1101-3591 ; 2019:1

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