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MiS Preprint

Conley Index Theory and Novikov-Morse Theory

Huijun Fan and Jürgen Jost


We derive the general novikov-morse inequalities in a Conley type framework for flows carrying a cocycle, therefore generalizing our result in [H. Fan, and J. Jost, Novikov Morse theory for dynamical systems, Calc. Var. 17, 29-73(2002)] derived for integral cocycle. The condition for 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.

MSC Codes:
37B30, 37B35, 57R70
conley index, novikov-morse theory, flow carring a cocycle

Related publications

2005 Repository Open Access
Huijun Fan and Jürgen Jost

Conley index theory and Novikov-Morse theory

In: Pure and applied mathematics quarterly, 1 (2005) 4, pp. 939-971