![](https://rarewaves.blob.core.windows.net/rarewaves-images/2ajolzd.jpg) Further Details
Title: Coherent Sheaves, Superconnections, and Riemann-Roch-Grothendieck Condition: New Author: Jean-Michel Bismut, Shu Shen, Zhaoting Wei Format: Hardback Type: Hardback EAN: 9783031272332 ISBN: 9783031272332 Edition: 1st ed. 2023 Publisher: Birkhauser Verlag AG Genre: Science Nature & Math Release Date: 14/11/2023 Language: English Country/Region of Manufacture: CH Item Height: 235mm Item Length: 155mm Book Series: Progress in Mathematics Release Year: 2023 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.
Missing Information?
Please contact us if any details are missing and where possible we will add the information to our listing. |