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 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...
Clasificación: | Libro Electrónico |
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Autor principal: | |
Autor Corporativo: | |
Formato: | Electrónico eBook |
Idioma: | Inglés |
Publicado: |
Cham :
Springer International Publishing : Imprint: Birkhäuser,
2013.
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Edición: | 1st ed. 2013. |
Colección: | Progress in Mathematics,
305 |
Temas: | |
Acceso en línea: | Texto Completo |
Tabla de Contenidos:
- 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. .