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dc.contributor.authorRanicki, Andrew
dc.contributor.authorCornea, Octav
dc.coverage.spatial46en
dc.date.accessioned2003-11-17T17:19:54Z
dc.date.available2003-11-17T17:19:54Z
dc.date.issued2003-05-12
dc.identifier.citationhttp://arxiv.org/pdf/math.AT/0107221en
dc.identifier.urihttp://hdl.handle.net/1842/240
dc.description.abstractWe obtain rigidity and gluing results for the Morse complex of a real-valued Morse function as well as for the Novikov complex of a circle-valued Morse function. A rigidity result is also proved for the Floer complex of a hamiltonian defined on a closed symplectic manifold $(M,\omega)$ with $c_{1}|_{\pi_{2}(M)}=[\omega]|_{\pi_{2}(M)}=0$. The rigidity results for these complexes show that the complex of a fixed generic function/hamiltonian is a retract of the Morse (respectively Novikov or Floer) complex of any other sufficiently $C^{0}$ close generic function/hamiltonian. The gluing result is a type of Mayer-Vietoris formula for the Morse complex. It is used to express algebraically the Novikov complex up to isomorphism in terms of the Morse complex of a fundamental domain. Morse cobordisms are used to compare various Morse-type complexes without the need of bifurcation theory.en
dc.format.extent554684 bytes
dc.format.mimetypeapplication/pdf
dc.language.isoen
dc.publisherFinal version, accepted for publication by the Journal of the European Mathematical Societyen
dc.titleRigidity and gluing for Morse and Novikov complexesen
dc.typePreprinten


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