Hypoelliptic Laplacian and Bott-Chern Cohomology A Theorem of Riemann-Roch-Grothendieck in Complex Geometry /

The book provides the proof of a complex geometric version of a well-known result in algebraic geometry: the theorem of Riemann-Roch-Grothendieck for proper submersions. It gives an equality of cohomology classes in Bott-Chern cohomology, which is a refinement for complex manifolds of de Rham cohomo...

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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Bismut, Jean-Michel (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2013.
Edition:1st ed. 2013.
Series:Progress in Mathematics, 305
Subjects:
K-theory.
Differential equations.
Global analysis (Mathematics).
Manifolds (Mathematics).
K-Theory.
Differential Equations.
Global Analysis and Analysis on Manifolds.
Online Access:Texto Completo
Table of Contents:
  • Introduction
  • 1 The Riemannian adiabatic limit
  • 2 The holomorphic adiabatic limit
  • 3 The elliptic superconnections
  • 4 The elliptic superconnection forms
  • 5 The elliptic superconnections forms
  • 6 The hypoelliptic superconnections
  • 7 The hypoelliptic superconnection forms
  • 8 The hypoelliptic superconnection forms of vector bundles
  • 9 The hypoelliptic superconnection forms
  • 10 The exotic superconnection forms of a vector bundle
  • 11 Exotic superconnections and Riemann-Roch-Grothendieck
  • Bibliography
  • Subject Index
  • Index of Notation.  .

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