K -theoretic invariants for Floer homology
dc.contributor.author | Sullivan, Michael G. | en_US |
dc.date.accessioned | 2006-09-08T19:41:56Z | |
dc.date.available | 2006-09-08T19:41:56Z | |
dc.date.issued | 2002-10 | en_US |
dc.identifier.citation | Sullivan, 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.issn | 1016/443X | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/41845 | |
dc.description.abstract | This 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.extent | 699999 bytes | |
dc.format.extent | 3115 bytes | |
dc.format.mimetype | application/pdf | |
dc.format.mimetype | text/plain | |
dc.language.iso | en_US | |
dc.publisher | Birkhäuser Verlag; Birkhäuser Verlag, Basel ; Springer Science+Business Media | en_US |
dc.subject.other | Legacy | en_US |
dc.title | K -theoretic invariants for Floer homology | en_US |
dc.type | Article | en_US |
dc.subject.hlbsecondlevel | Mathematics | en_US |
dc.subject.hlbtoplevel | Science | en_US |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.contributor.affiliationum | Department of Mathematics, University of Michigan, 2074 East Hall, Ann Arbor, MI 48109-1109, USA, e-mail: mikegs@umich.edu, US | en_US |
dc.contributor.affiliationumcampus | Ann Arbor | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/41845/1/20120810.pdf | en_US |
dc.identifier.doi | http://dx.doi.org/10.1007/s00039-002-8267-3 | en_US |
dc.identifier.source | Geometric and Functional Analysis | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
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