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The elliptic superconnections

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

Abstract

The purpose of this chapter is to define the natural superconnection B attached to a holomorphic fibration p : M → S which is equipped with a (1, 1) form ω M as in  Chapter 2, and to establish a formula for its curvature. Contrary to what was done in [BGS88b, BK92, B97], we do not assume ω M to be closed.

Keywords

Vector Bundle Orthonormal Basis Dirac Operator Dual Basis Holomorphic Vector Bundle 
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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