Jean-Michel Bismut

Hypoelliptic Laplacian and Orbital Integrals

This book uses the hypoelliptic Laplacian to evaluate semisimple orbital integrals in a formalism that unifies index theory and the trace formula. The...

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 ...

The Hypoelliptic Laplacian and Ray-Singer Metrics

This book presents the analytic foundations to the theory of the hypoelliptic Laplacian. The hypoelliptic Laplacian, a second-order operator acting on...

Coherent Sheaves, Superconnections, and Riemann-Roch-Grothendieck

This monograph addresses two significant related questions in complex geometry: the construction of a Chern character on the Grothendieck group of coh...

Annals of Mathematics Studies

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Large Deviations and the Malliavin Calculus

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An Extension of a Theorem by Cheeger and Müller

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Calcul Des Probabilities

10 Ecole D' Ete : Papers

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From Probability to Geometry

Volume in Honor of the 60th Birthday of Jean-Michel Bismut

This is the first of two volumes that contain original research articles submitted by colleagues and friends to celebrate the 60th birthday of Jean-Mi...

Families Torsion and Morse Functions

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