2015年6月

# MORSE-NOVIKOV THEORY, HEEGAARD SPLITTINGS, AND CLOSED ORBITS OF GRADIENT FLOWS

ST PETERSBURG MATHEMATICAL JOURNAL
• H. Goda
• ,
• H. Matsuda
• ,
• A. Pajitnov

26
3

441

461

DOI
10.1090/S1061-0022-2015-01345-9

AMER MATHEMATICAL SOC

The work of Donaldson and Mark made the structure of the SeibergWitten 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. In the paper, these invariants are studied by using the Morse-Novikov theory and Heegaard splitting for sutured manifolds, and detailed computations are made for knot complements.

リンク情報
DOI
https://doi.org/10.1090/S1061-0022-2015-01345-9
Web of Science