The geometric complex of a Morse-Bott-Smale pair and an extension of a theorem by Bismut-Zhang

Details The geometric complex of a Morse-Bott-Smale pair and an extension of a theorem by Bismut-Zhang The geometric complex of a Morse-Bott-Smale pair and an extension of a theorem by Bismut-Zhang

2004-09-09

arxiv.org/abs/math/0409166v1

Mathematics

Geometric Topology

Scientific paper

We define the geometric complex associated to a Morse-Bott-Smale vector
field, cf. [Austin-Braam, 1995], and its associated spectral sequence. We prove
an extension of the Bismut-Zhang theorem to Morse-Bott-Smale functions. The
proof is based on the Bismut-Zhang theorem for Morse-Smale functions, see
[Bismut-Zhang, 1992].

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