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Morse-Conley-Floer Homology | T. O. Rot
; R.C.A.M. Vandervorst
; | Date: |
17 May 2013 | Abstract: | For Morse-Smale pairs on a smooth, closed manifold the Morse-Smale-Witten
chain complex can be defined. The associated Morse homology is isomorphic to
the singular homology of the manifold and yields the classical Morse relations
for Morse functions. A similar approach can be used to define homological
invariants for isolated invariant sets of flows on a smooth manifold, which
gives an analogue of the Conley index and the Morse-Conley relations. The
approach will be referred to as Morse-Conley-Floer homology. | Source: | arXiv, 1305.4074 | Services: | Forum | Review | PDF | Favorites |
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