Overview
- Gives an important application of the theory of the hypoelliptic Laplacian in complex algebraic geometry
- Provides an introduction to applications of Quillen's superconnections in complex geometry with hypoelliptic operators
- Presents several techniques partly inspired from physics, which concur to the proof of a result in complex algebraic geometry
- The method of hypoelliptic deformation of the classical Laplacian was developed by the author during the last ten years
- Includes supplementary material: sn.pub/extras
Part of the book series: Progress in Mathematics (PM, volume 305)
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Table of contents (12 chapters)
Keywords
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Bibliographic Information
Book Title: Hypoelliptic Laplacian and Bott–Chern Cohomology
Book Subtitle: A Theorem of Riemann–Roch–Grothendieck in Complex Geometry
Authors: Jean-Michel Bismut
Series Title: Progress in Mathematics
DOI: https://doi.org/10.1007/978-3-319-00128-9
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Basel 2013
Hardcover ISBN: 978-3-319-00127-2Published: 06 June 2013
Softcover ISBN: 978-3-319-03389-1Published: 16 June 2015
eBook ISBN: 978-3-319-00128-9Published: 23 May 2013
Series ISSN: 0743-1643
Series E-ISSN: 2296-505X
Edition Number: 1
Number of Pages: XV, 203
Topics: K-Theory, Partial Differential Equations, Global Analysis and Analysis on Manifolds