A geometric Morse-Novikov complex with infinite series coefficients
Geometric Topology
2018-11-29 v1
Abstract
Let M be a closed n-dimensional manifold, n > 2, whose first real cohomology group H 1 (M ; R) is non-zero. We present a general method for constructing a Morse 1-form on M , closed but non-exact, and a pseudo-gradient X such that the differential X of the Novikov complex of the pair (, X) has at least one incidence coefficient which is an infinite series. This is an application of our previous study of the homoclinic bifurcation of pseudo-gradients of multivalued Morse functions.
Keywords
Cite
@article{arxiv.1811.11428,
title = {A geometric Morse-Novikov complex with infinite series coefficients},
author = {François Laudenbach and Carlos Moraga Ferrandiz},
journal= {arXiv preprint arXiv:1811.11428},
year = {2018}
}