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The hypoelliptic superconnection forms

  • Jean-Michel Bismut
Chapter
Part of the Progress in Mathematics book series (PM, volume 305)

Abstract

In this chapter, we construct hypoelliptic superconnection forms \(\alpha_{g,b,t}, b > 0 , t > 0\) that are associated with the hypoelliptic superconnections of Section 6, and we prove that their class in \(H^{(=)}_{\rm{BC}}\) (S,C) does not depend on b, t, and coincides with the class of the elliptic superconnection forms \(\{\alpha_{g,t}\}\).

Keywords

Cohomology Class Hermitian Form Number Operator Holomorphic Vector Bundle Obvious Analogue 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Basel 2013

Authors and Affiliations

  • Jean-Michel Bismut
    • 1
  1. 1.Département de MathématiqueUniversité Paris-SudOrsayFrance

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