Proc. Japan Acad. Ser. A Math. Sci. 85 (1), 6-10, (January 2009) DOI: 10.3792/pjaa.85.6
Hiroshi Goda, Andrei V. Pajitnov
KEYWORDS: Morse theory, Gradient flow, torsion, Novikov homology, zeta function, the Seiberg-Witten equation, 57M27, 58E05
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.