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

Dan Burghelea·Stefan Haller
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Abstract

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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Dan Burghelea, Stefan Haller. 2004-09-09. The geometric complex of a Morse-Bott-Smale pair and an extension of a theorem by Bismut-Zhang. https://arxiv.org/abs/math/0409166

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