Conley Index Theory and Novikov-Morse Theory
Huijun Fan, Jürgen Jost · Pure and Applied Mathematics Quarterly · 2005
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.