Book Description Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 196 pp. Englisch. Seller Inventory # 9783031272332

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Coherent Sheaves, Superconnections, and Riemann-roch-grothendieck (Progress in Mathematics, 347)

Bismut, Jean-Michel; Shen, Shu; Wei, Zhaoting

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ISBN 10: 3031272331 ISBN 13: 9783031272332

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Coherent Sheaves, Superconnections, and Riemann-roch-grothendieck

Bismut, Jean-Michel; Shen, Shu; Wei, Zhaoting

Published by Birkhauser (2023)

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Coherent Sheaves, Superconnections, and Riemann-Roch-Grothendieck

Jean-Michel Bismut|Shu Shen|Zhaoting Wei

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ISBN 10: 3031272331 ISBN 13: 9783031272332

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Book Description Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Presents a solution to a long-standing problem in complex algebraic geometryProves an RRG theorem for coherent sheaves of a compact complex manifoldOffers a valuable resource for many researchers in geometry, analysis, and mathematical phys. Seller Inventory # 803180026

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Coherent Sheaves, Superconnections, and Riemann-Roch-Grothendieck

Jean-Michel Bismut

Published by Springer International Publishing (2023)

ISBN 10: 3031272331 ISBN 13: 9783031272332

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Book Description Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Seller Inventory # 9783031272332

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Coherent Sheaves, Superconnections, and Riemann-roch-grothendieck (Progress in Mathematics, 347) - Hardcover

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