Hypoelliptic Laplacian and Bott–Chern Cohomology A Theorem of Riemann–Roch–Grothendieck in Complex Geometry /

• Main Author: Bismut, Jean-Michel (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Heidelberg : Springer International Publishing : Imprint: Birkhäuser, 2013.
• Series: Progress in Mathematics ; 305
• Subjects: Mathematics.; K-theory.; Global analysis (Mathematics).; Manifolds (Mathematics).; Partial differential equations.; K-Theory.; Partial Differential Equations.; Global Analysis and Analysis on Manifolds.

The book provides the proof of a complex geometric version of a well-known result in algebraic geometry: the theorem of Riemann–Roch–Grothendieck for proper submersions. It gives an equality of cohomology classes in Bott–Chern cohomology, which is a refinement for complex manifolds of de Rham cohomo...