The hypoelliptic superconnection forms

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


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 \(\{\alpha_{g,t}\}\).


Cohomology Class Hermitian Form Number Operator Holomorphic Vector Bundle Obvious Analogue 
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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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