Dynamics of gradient flows in the half-transversal Morse theory

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.

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Bibliographic Details
Published inProceedings of the Japan Academy. Series A. Mathematical sciences Vol. 85; no. 1; pp. 6 - 10
Main Authors Goda, Hiroshi, Pajitnov, Andrei V.
Format Journal Article
LanguageEnglish
Published The Japan Academy 01.01.2009
Subjects
57M27
58E05
gradient flow
Morse theory
Novikov homology
the Seiberg-Witten equation
torsion
zeta function
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Summary: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.
ISSN:0386-2194
DOI:10.3792/pjaa.85.6