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Hypoelliptic Laplacian and Bott-Chern Cohomology: A Theorem of Riemann-Roch-Grothendieck in Complex Geometry (Paperback) (ISBN-13: 9783319033891)
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Jean-Michel Bismut
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xIntroduction.- 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.
Author: Jean-Michel Bismut
ISBN-10: 3319033891
ISBN-13: 9783319033891
Publisher: Birkhauser
Language: English
Published: 06/16/2015
Pages: 203
Format: Paperback
Weight: 0.70lbs
Size: 9.21h x 6.14w x 0.47d
Author: Jean-Michel Bismut
ISBN-10: 3319033891
ISBN-13: 9783319033891
Publisher: Birkhauser
Language: English
Published: 06/16/2015
Pages: 203
Format: Paperback
Weight: 0.70lbs
Size: 9.21h x 6.14w x 0.47d
By Jean-Michel Bismut
xJean-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.
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