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Exotic superconnections and Riemann-Roch-Grothendieck

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

Abstract

The purpose of this chapter is to establish the main result of this book, i.e., we give a Riemann-Roch-Grothendieck formula for the class \(\{\alpha_{g,t}\} \in H^{(=)}_{\rm{BC}}\) (S,C). When \({\bar\partial}^{M} {\partial^{M}} \omega^{M} = 0\), this result was already established in Theorem 5.2.1 using elliptic superconnections. The introduction in  Chapter 9 of hypoelliptic superconnections did not allow us to eliminate this assumption.

Keywords

Heat Kernel Uniform Estimate Uniform Bound Scalar Part Obvious Extension 
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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