Morse-Novikov theory, Heegaard splittings and closed orbits of gradient flows
Geometric Topology
2009-07-16 v2 Differential Geometry
Abstract
The works of Donaldson and Mark make the structure of the Seiberg-Witten invariant of 3-manifolds clear. It corresponds to certain torsion type invariants counting flow lines and closed orbits of a gradient flow of a circle-valued Morse map on a 3-manifold. We study these invariants using the Morse-Novikov theory and Heegaard splitting for sutured manifolds, and make detailed computations for knot complements.
Keywords
Cite
@article{arxiv.0709.3153,
title = {Morse-Novikov theory, Heegaard splittings and closed orbits of gradient flows},
author = {Hiroshi Goda and Hiroshi Matsuda and Andrei Pajitnov},
journal= {arXiv preprint arXiv:0709.3153},
year = {2009}
}
Comments
27 pages, 12 figures