The Geometric Complex of a Morse–bott–smale Pair and an Extension of a Theorem by Bismut–zhang

نویسندگان

  • DAN BURGHELEA
  • STEFAN HALLER
چکیده

We define the geometric complex associated to a Morse– Bott–Smale vector field, cf. [AB95], and its associated spectral sequence. We prove an extension of the Bismut–Zhang theorem to Morse–Bott–Smale functions, see Theorem 2 below. The proof is based on the Bismut–Zhang theorem for Morse–Smale functions, see [BZ92].

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تاریخ انتشار 2008