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math.GT2008
A Morse theoretic description of string topology
Ralph L. Cohen, Matthias Schwarz
Let M be a closed, oriented, n-dimensional manifold. In this paper we give a Morse theoretic description of the string topology operations introduced by Chas and Sullivan, and exte…
math.GT1999
Equivalences for Morse homology
Matthias Schwarz
An explicit isomorphism between Morse homology and singular homology is constructed via the technique of pseudo-cycles. Given a Morse cycle as a formal sum of critical points of a…