Share
Coherent Sheaves, Superconnections, and Riemann-Roch-Grothendieck (in English)
Jean-Michel Bismut
(Author)
·
Shu Shen
(Author)
·
Zhaoting Wei
(Author)
·
Birkhauser
· Hardcover
Coherent Sheaves, Superconnections, and Riemann-Roch-Grothendieck (in English) - Bismut, Jean-Michel ; Shen, Shu ; Wei, Zhaoting
$ 123.15
$ 129.99
You save: $ 6.84
Choose the list to add your product or create one New List
✓ Product added successfully to the Wishlist.
Go to My WishlistsIt will be shipped from our warehouse between
Thursday, June 06 and
Friday, June 07.
You will receive it anywhere in United States between 1 and 3 business days after shipment.
Synopsis "Coherent Sheaves, Superconnections, and Riemann-Roch-Grothendieck (in English)"
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.