Hypoelliptic Laplacian and Bott-Chern Cohomology by Jean-Michel Bismut

Hypoelliptic Laplacian and Bott-Chern Cohomology by Jean-Michel Bismut

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Zusammenfassung

One tool used in the book is a deformation of the Hodge theory of the fibres to a hypoelliptic Hodge theory, in such a way that the relevant cohomological information is preserved, and 'fantastic cancellations' do occur for the deformation.

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Hypoelliptic Laplacian and Bott-Chern Cohomology by Jean-Michel Bismut

One tool used in the book is a deformation of the Hodge theory of the fibres to a hypoelliptic Hodge theory, in such a way that the relevant cohomological information is preserved, and 'fantastic cancellations' do occur for the deformation.
Jean-Michel Bismut is Professor of Mathematics at Université Paris-Sud (Orsay) and a member of the Académie des Sciences. Starting with a background in probability, he has worked extensively on index theory. With Gillet, Soulé, and Lebeau, he contributed to the proof of a theorem of Riemann–Roch–Grothendieck in Arakelov geometry. More recently, he has developed a theory of the hypoelliptic Laplacian, a family of operators that deforms the classical Laplacian, and provides a link between spectral theory and dynamical systems.
SKU Nicht verfügbar
ISBN 13 9783319033891
ISBN 10 3319033891
Titel Hypoelliptic Laplacian and Bott-Chern Cohomology
Autor Jean-Michel Bismut
Serie Progress In Mathematics
Buchzustand Nicht verfügbar
Bindungsart Paperback
Verlag Birkhauser Verlag AG
Erscheinungsjahr 2015-06-16
Seitenanzahl 203
Hinweis auf dem Einband Die Abbildung des Buches dient nur Illustrationszwecken, die tatsächliche Bindung, das Cover und die Auflage können sich davon unterscheiden.
Hinweis Nicht verfügbar