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Coherent Sheaves Superconnections And Riemannrochgrothendieck 2023th Edition Jeanmichel Bismut

  • SKU: BELL-57783794
Coherent Sheaves Superconnections And Riemannrochgrothendieck 2023th Edition Jeanmichel Bismut
$ 31.00 $ 45.00 (-31%)

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Coherent Sheaves Superconnections And Riemannrochgrothendieck 2023th Edition Jeanmichel Bismut instant download after payment.

Publisher: Birkhäuser
File Extension: PDF
File size: 2.32 MB
Pages: 181
Author: Jean-Michel Bismut, Shu Shen, Zhaoting Wei
ISBN: 9783031272332, 3031272331
Language: English
Year: 2023
Edition: 2023
Volume: 347

Product desciption

Coherent Sheaves Superconnections And Riemannrochgrothendieck 2023th Edition Jeanmichel Bismut by Jean-michel Bismut, Shu Shen, Zhaoting Wei 9783031272332, 3031272331 instant download after payment.

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 for many researchers in geometry, analysis, and mathematical physics.

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