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The holomorphic adiabatic limit

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

Abstract

Let p : M → S be a proper submersion of complex manifolds with compact fibre X, and let ω M be a smooth (1, 1) form on M which induces a Hermitian metric g TX on TX. The purpose of this chapter is to study the adiabatic limit of the holomorphic Hermitian connections on TM associated with a family of Hermitian metrics \({g}^{TM}_{\epsilon}\). The adiabatic limit of two other connections on T R M that were defined in [B89] are studied as well.

Keywords

Vector Bundle Holomorphic Vector Bundle Smooth Section Adiabatic Limit Holomorphic Structure 
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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