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K -theoretic invariants for Floer homology

dc.contributor.authorSullivan, Michael G.en_US
dc.date.accessioned2006-09-08T19:41:56Z
dc.date.available2006-09-08T19:41:56Z
dc.date.issued2002-10en_US
dc.identifier.citationSullivan, M.G.; (2002). " K -theoretic invariants for Floer homology." Geometric and Functional Analysis 12(4): 810-872. <http://hdl.handle.net/2027.42/41845>en_US
dc.identifier.issn1016/443Xen_US
dc.identifier.urihttps://hdl.handle.net/2027.42/41845
dc.description.abstractThis paper defines two K-theoretic invariants, Wh 1 and Wh 2 , for individual and one-parameter families of Floer chain complexes. The chain complexes are generated by intersection points of two Lagrangian submanifolds of a symplectic manifold, and the boundary maps are determined by holomorphic curves connecting pairs of intersection points. The paper proves that Wh 1 and Wh 2 do not depend on the choice of almost complex structures and are invariant under Hamiltonian deformations. The proof of this invariance uses properties of holomorphic curves, parametric gluing theorems, and a stabilization process.en_US
dc.format.extent699999 bytes
dc.format.extent3115 bytes
dc.format.mimetypeapplication/pdf
dc.format.mimetypetext/plain
dc.language.isoen_US
dc.publisherBirkhäuser Verlag; Birkhäuser Verlag, Basel ; Springer Science+Business Mediaen_US
dc.subject.otherLegacyen_US
dc.titleK -theoretic invariants for Floer homologyen_US
dc.typeArticleen_US
dc.subject.hlbsecondlevelMathematicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumDepartment of Mathematics, University of Michigan, 2074 East Hall, Ann Arbor, MI 48109-1109, USA, e-mail: mikegs@umich.edu, USen_US
dc.contributor.affiliationumcampusAnn Arboren_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/41845/1/20120810.pdfen_US
dc.identifier.doihttp://dx.doi.org/10.1007/s00039-002-8267-3en_US
dc.identifier.sourceGeometric and Functional Analysisen_US
dc.owningcollnameInterdisciplinary and Peer-Reviewed


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