Téléchargez le livre : Coherent Sheaves, Superconnections, and Riemann-Roch-Grothendieck

Coherent Sheaves, Superconnections, and Riemann-Roch-Grothendieck

de

, ,

Éditeur :

Birkhäuser


Collection :

Progress in Mathematics

Paru le : 2023-11-13

eBook Téléchargement , DRM LCP 🛈 DRM Adobe 🛈
126,59 €
Téléchargement immédiat
Dès validation de votre commande
Image Louise Reader présentation

Louise Reader

Lisez ce titre sur l'application Louise Reader.

badge apple Application Louise Reader
badge Android Application Louise Reader
Description

This monograph addresses two significant related questions in complex geometry: the construction of a Chern character on the Grothendieck group of coherent sheaves of a compact complex manifold with values in its Bott-Chern cohomology, and the proof of a corresponding Riemann-Roch-Grothendieck  theorem.  One main tool used is the equivalence of categories established by Block between the derived category of bounded complexes with coherent cohomology and the homotopy category of antiholomorphic superconnections.  Chern-Weil theoretic techniques are then used to construct forms that represent the Chern character. The main theorem is then established using methods of analysis, by combining local index theory with the hypoelliptic Laplacian.

Coherent Sheaves, Superconnections, and Riemann-Roch-Grothendieck is an important contribution to both the geometric and analytic study of complex manifolds and, as such, it will be a valuable resource formany researchers in geometry, analysis, and mathematical physics. 
Pages
184 pages
Collection
Progress in Mathematics
Parution
2023-11-13
Marque
Birkhäuser
EAN papier
9783031272332
EAN PDF
9783031272349
Informations sur l'ebook
Nombre pages copiables
1
Nombre pages imprimables
18
Taille du fichier
2437 Ko
Prix
126,59 €

Suggestions personnalisées