Hypoelliptic Laplacian and Ray-Singer Metrics by Jean-Michel Bismut
Look inside with Google Book Preview
Hypoelliptic Laplacian and Ray-Singer Metrics
By Jean-Michel Bismut

Hypoelliptic Laplacian and Ray-Singer Metrics

By (author) See other recent books by Jean-Michel Bismut See other recent books by Gilles Lebeau
Format: Paperback

Normal Price: $114.00
Your Price: $102.60 AUD, inc. GST
Shipping: $7.95 per order
You Save: $11.40! (10% off normal price)
Plus...earn $5.13 in Boomerang Bucks
Availability: Available Available to Backorder, No Due Date for Supply



Hypoelliptic Laplacian and Ray-Singer Metrics by Jean-Michel Bismut

Book Description

This book presents the analytic foundations to the theory of the hypoelliptic Laplacian. The hypoelliptic Laplacian, a second-order operator acting on the cotangent bundle of a compact manifold, is supposed to interpolate between the classical Laplacian and the geodesic flow. Jean-Michel Bismut and Gilles Lebeau establish the basic functional analytic properties of this operator, which is also studied from the perspective of local index theory and analytic torsion. The book shows that the hypoelliptic Laplacian provides a geometric version of the Fokker-Planck equations. The authors give the proper functional analytic setting in order to study this operator and develop a pseudodifferential calculus, which provides estimates on the hypoelliptic Laplacian's resolvent. When the deformation parameter tends to zero, the hypoelliptic Laplacian converges to the standard Hodge Laplacian of the base by a collapsing argument in which the fibers of the cotangent bundle collapse to a point. For the local index theory, small time asymptotics for the supertrace of the associated heat kernel are obtained. The Ray-Singer analytic torsion of the hypoelliptic Laplacian as well as the associated Ray-Singer metrics on the determinant of the cohomology are studied in an equivariant setting, resulting in a key comparison formula between the elliptic and hypoelliptic analytic torsions.

Buy Hypoelliptic Laplacian and Ray-Singer Metrics book by Jean-Michel Bismut from Australia's Online Bookstore, Boomerang Books.


Book Details

ISBN: 9780691137322
ISBN-10: 0691137323
Format: Paperback
(229mm x 152mm x 19mm)
Pages: 376
Imprint: Princeton University Press
Publisher: Princeton University Press
Publish Date: 18-Aug-2008
Country of Publication: United States

Other Editions...


Books By Author Jean-Michel Bismut

Hypoelliptic Laplacian and Orbital Integrals by Jean-Michel Bismut Hypoelliptic Laplacian and Orbital Integrals, Paperback (August 2011)

The hypoelliptic Laplacian is a family of operators that is supposed to interpolate between the ordinary Laplacian and the geodesic flow. This book uses the hypoelliptic Laplacian to evaluate semisimple orbital integrals in a formalism that unifies index theory and the trace formula.

» View all books by Jean-Michel Bismut

Reviews

» Have you read this book? We'd like to know what you think about it - write a review about Hypoelliptic Laplacian and Ray-Singer Metrics book by Jean-Michel Bismut and you'll earn 50c in Boomerang Bucks loyalty dollars (you must be a member - it's free to sign up!)

Write a book review


Author Biography - Jean-Michel Bismut

Jean-Michel Bismut is professor of mathematics at the University of Paris-Sud. Gilles Lebeau is professor of mathematics at the University of Nice Sophia-Antipolis.

Boomerang Bucks close

For every $20 you spend on books, you will receive $1 in Boomerang Bucks loyalty dollars. You can use your Boomerang Bucks as a credit towards a future purchase from Boomerang Books. Note that you must be a Member (free to sign up) and that conditions do apply.

Recent books by Jean-Michel Bismut close
Hypoelliptic Laplacian and Orbital Integrals by Jean-Michel Bismut
»
Recent books by Gilles Lebeau close
Hypoelliptic Laplacian and Ray-Singer Metrics by Gilles Lebeau
»
BoomerangBooks.com.au close