Conley Index Theory and Novikov-Morse Theory

Details Conley Index Theory and Novikov-Morse Theory Conley Index Theory and Novikov-Morse Theory

2003-11-30

arxiv.org/abs/math/0312018v1

Mathematics

Geometric Topology

35pages, 6 figures

Scientific paper

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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