The elliptic superconnections

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


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.


Vector Bundle Orthonormal Basis Dirac Operator Dual Basis Holomorphic Vector Bundle 
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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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