Coherent Sheaves, Superconnections, and Riemann-Roch-Grothendieck
$352.46
- Hardcover
184 pages
- Release Date
13 November 2023
Summary
Bridging Geometry and Analysis: Coherent Sheaves, Superconnections, and the Riemann-Roch-Grothendieck Theorem
This monograph delves into two interconnected challenges within complex geometry: developing a Chern character on the Grothendieck group of coherent sheaves on a compact complex manifold, with values in its Bott-Chern cohomology, and demonstrating the associated Riemann-Roch-Grothendieck theorem.
A key instrument employed is the category equivalence, established by B…
Book Details
| ISBN-13: | 9783031272332 |
|---|---|
| ISBN-10: | 3031272331 |
| Series: | Progress in Mathematics |
| Author: | Jean-Michel Bismut, Shu Shen, Zhaoting Wei |
| Publisher: | Birkhauser Verlag AG |
| Imprint: | Birkhauser Verlag AG |
| Format: | Hardcover |
| Number of Pages: | 184 |
| Edition: | 2023rd |
| Release Date: | 13 November 2023 |
| Weight: | 465g |
| Dimensions: | 235mm x 155mm |
What They're Saying
Critics Review
“Throughout the book, the authors demonstrate a mastery of advanced techniques in differential geometry, algebra, and analysis. The proofs are rigorous and often involve intricate calculations and estimates. … Researchers and advanced graduate students in complex geometry, algebraic geometry, and related areas will find this work to be a valuable resource, albeit one that requires careful study and a strong background in the subject.” (Byungdo Park, Mathematical Reviews, May, 2025)
About The Author
Jean-Michel Bismut
Jean-Michel Bismut is a French mathematician who is a professor in the Mathematics Department in Orsay. He is known for his contributions to index theory, geometric analysis and probability theory. Together with Gilles Lebeau, he has developed the theory of the hypoelliptic Laplacian, to which he found applications in various fields of mathematics. He shared the Shaw Prize in Mathematical Sciences 2021 with Jeff Cheeger.
Shu Shen is a maître de conférences at Sorbonne University in Paris. His research focuses on the fields of analysis, geometry, and representation theory.
Zhaoting Wei is an assistant professor in mathematics at Texas A&M University-Commerce, USA. His research interests include noncommutative geometry and higher category theory.
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