Coherent Sheaves, Superconnections, and Riemann-Roch-Grothendieck

-15% su kodu: ENG15
172,77 
Įprasta kaina: 203,26 
-15% su kodu: ENG15
Kupono kodas: ENG15
Akcija baigiasi: 2025-03-03
-15% su kodu: ENG15
172,77 
Įprasta kaina: 203,26 
-15% su kodu: ENG15
Kupono kodas: ENG15
Akcija baigiasi: 2025-03-03
-15% su kodu: ENG15
2025-02-28 203.2600 InStock
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Knygos aprašymas

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.

Informacija

Autorius: Jean-Michel Bismut, Zhaoting Wei, Shu Shen,
Serija: Progress in Mathematics
Leidėjas: Springer Nature Switzerland
Išleidimo metai: 2023
Knygos puslapių skaičius: 196
ISBN-10: 3031272331
ISBN-13: 9783031272332
Formatas: 241 x 160 x 17 mm. Knyga kietu viršeliu
Kalba: Anglų

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