Dynamics of gradient flows in the half-transversal Morse theory

被引：4

作者：

Goda, Hiroshi ^{[1
]}

Pajitnov, Andrei V. ^{[2
]}

机构：

[1] Tokyo Univ Agr & Technol, Dept Math, Koganei, Tokyo 1848588, Japan

[2] Univ Nantes, Fac Sci, Lab Math Jean Leray, UMR 6629, F-44072 Nantes, France

来源：

PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES | 2009年 / 85卷 / 01期

关键词：

Morse theory; gradient flow; torsion; Novikov homology; zeta function; the Seiberg-Witten equation;

D O I：

10.3792/pjaa.85.6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：6 / 10

页数：5

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