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MORSE HOMOLOGY ON NONCOMPACT MANIFOLDS

Urs Frauenfelder|Kai Cieliebak
대한수학회 (The Korean Mathematical Society)|2011.07|대한수학회지 (Journal of the KMS)|제48권 제4호|pp. 749-774

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참고문헌

키워드

Morse homologybidirect systemdirect and inverse limits
주제분류수학

초록

Given a Morse function on a manifold whose moduli spaces of gradient flow lines for each action window are compact up to breaking one gets a bidirect system of chain complexes. There are different possibilities to take limits of such a bidirect system. We discuss in this note the relation between these different limits.

Abstract

Given a Morse function on a manifold whose moduli spaces of gradient flow lines for each action window are compact up to breaking one gets a bidirect system of chain complexes. There are different possibilities to take limits of such a bidirect system. We discuss in this note the relation between these different limits.

참고문헌 (17)

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