Conley Index Theory and Novikov-Morse Theory

Huijun Fan; Juergen Jost

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arXiv · math/0312018

Conley Index Theory and Novikov-Morse Theory

Huijun Fan·Juergen Jost

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Abstract

We derive general Novikov-Morse type inequalities in a Conley type framework for flows carrying cocycles, therefore generalizing our results in [FJ2] derived for integral cocycle. The condition of carrying a cocycle expresses the nontriviality of integrals of that cocycle on flow lines. Gradient-like flows are distinguished from general flows carrying a cocycle by boundedness conditions on these integrals.

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Huijun Fan, Juergen Jost. 2003-11-30. Conley Index Theory and Novikov-Morse Theory. https://arxiv.org/abs/math/0312018

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