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arXiv · 1401.7811

Morse cohomology in a Hilbert space via the Conley Index

Maciej Starostka
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Abstract

Main theorem of this paper states that Floer cohomology groups in a Hilbert space are isomorphic to the cohomological Conley Index. It is also shown that calculating cohomological Conley Index does not require finite dimensional approximations of the vector field. Further directions are discussed.

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Maciej Starostka. 2014-08-04. Morse cohomology in a Hilbert space via the Conley Index. https://arxiv.org/abs/1401.7811

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