Hypoelliptic Laplacian and Bott-Chern Cohomology: A Theorem of Riemann-Roch-Grothendieck in Complex Geometry

By Jean-Michel Bismut

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Introduction.- 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.

Format:Paperback

Language:English

ISBN:3319033891

ISBN13:9783319033891

Release Date:June 2015

Publisher:Birkhauser

Length:203 Pages

Weight:0.70 lbs.

Dimensions:0.5" x 6.1" x 9.2"

Related Subjects

Math Mathematics Science & Math

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Hypoelliptic Laplacian and Bott-Chern Cohomology: A Theorem of Riemann-Roch-Grothendieck in Complex Geometry

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