Open Access
Translator Disclaimer
January 2009 Dynamics of gradient flows in the half-transversal Morse theory
Hiroshi Goda, Andrei V. Pajitnov
Proc. Japan Acad. Ser. A Math. Sci. 85(1): 6-10 (January 2009). DOI: 10.3792/pjaa.85.6

Abstract

In this note we suggest a construction of the Morse-Novikov theory for a class of non-transversal gradients and generalize to this class the basic results of the classical Morse-Novikov theory including its non-abelian version.

Citation

Download Citation

Hiroshi Goda. Andrei V. Pajitnov. "Dynamics of gradient flows in the half-transversal Morse theory." Proc. Japan Acad. Ser. A Math. Sci. 85 (1) 6 - 10, January 2009. https://doi.org/10.3792/pjaa.85.6

Information

Published: January 2009
First available in Project Euclid: 5 January 2009

zbMATH: 1182.57008
MathSciNet: MR2488751
Digital Object Identifier: 10.3792/pjaa.85.6

Subjects:
Primary: 57M27
Secondary: 58E05

Keywords: Gradient flow , Morse theory , Novikov homology , the Seiberg-Witten equation , torsion , zeta function

Rights: Copyright © 2009 The Japan Academy

JOURNAL ARTICLE
5 PAGES


SHARE
Vol.85 • No. 1 • January 2009
Back to Top