The Resource Holomorphic Morse inequalities and Bergman kernels, Xiaonan Ma, George Marinescu
Holomorphic Morse inequalities and Bergman kernels, Xiaonan Ma, George Marinescu
Resource Information
The item Holomorphic Morse inequalities and Bergman kernels, Xiaonan Ma, George Marinescu represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Holomorphic Morse inequalities and Bergman kernels, Xiaonan Ma, George Marinescu represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
- Summary
- "This book gives for the first time a self-contained and unified approach to holomorphic Morse inequalities and the asymptotic expansion of the Bergman kernel on manifolds by using the heat kernel, and presents also various applications." "The main analytic tool is the analytic localization technique in local index theory developed by Bismut-Lebeau. The book includes the most recent results in the field and therefore opens perspectives on several active areas of research in complex, Kahler and symplectic geometry. A large number of applications are included, e.g., an analytic proof of the Kodaira embedding theorem, a solution of the Grauert-Riemenschneider and Shiffman conjectures, a compactification of complete Kahler manifolds of pinched negative curvature, the Berezin-Toeplitz quantization, weak Lefschetz theorems, and the asymptotics of the Ray-Singer analytic torsion."--BOOK JACKET
- Language
- eng
- Extent
- xiii, 422 pages
- Isbn
- 9783764380960
- Label
- Holomorphic Morse inequalities and Bergman kernels
- Title
- Holomorphic Morse inequalities and Bergman kernels
- Statement of responsibility
- Xiaonan Ma, George Marinescu
- Language
- eng
- Summary
- "This book gives for the first time a self-contained and unified approach to holomorphic Morse inequalities and the asymptotic expansion of the Bergman kernel on manifolds by using the heat kernel, and presents also various applications." "The main analytic tool is the analytic localization technique in local index theory developed by Bismut-Lebeau. The book includes the most recent results in the field and therefore opens perspectives on several active areas of research in complex, Kahler and symplectic geometry. A large number of applications are included, e.g., an analytic proof of the Kodaira embedding theorem, a solution of the Grauert-Riemenschneider and Shiffman conjectures, a compactification of complete Kahler manifolds of pinched negative curvature, the Berezin-Toeplitz quantization, weak Lefschetz theorems, and the asymptotics of the Ray-Singer analytic torsion."--BOOK JACKET
- Cataloging source
- UKM
- http://library.link/vocab/creatorName
- Ma, Xiaonan
- Dewey number
- 516.362
- Index
- index present
- Literary form
- non fiction
- Nature of contents
- bibliography
- http://library.link/vocab/relatedWorkOrContributorName
- Marinescu, George
- Series statement
- Progress in mathematics
- Series volume
- v. 254
- http://library.link/vocab/subjectName
-
- Morse theory
- Bergman kernel functions
- Variational inequalities (Mathematics)
- Holomorphic functions
- Symplectic manifolds
- Morse, Théorie de
- Bergman, Noyau de
- Inégalités variationnelles
- Fonctions holomorphes
- Variétés symplectiques
- Label
- Holomorphic Morse inequalities and Bergman kernels, Xiaonan Ma, George Marinescu
- Bibliography note
- Includes bibliographical references and index
- Carrier category
- volume
- Carrier category code
-
- nc
- Carrier MARC source
- rdacarrier
- Content category
- text
- Content type code
-
- txt
- Content type MARC source
- rdacontent
- Control code
- 77258189
- Dimensions
- 24 cm
- Extent
- xiii, 422 pages
- Isbn
- 9783764380960
- Isbn Type
- (hbk.)
- Media category
- unmediated
- Media MARC source
- rdamedia
- Media type code
-
- n
- System control number
- (OCoLC)77258189
- Label
- Holomorphic Morse inequalities and Bergman kernels, Xiaonan Ma, George Marinescu
- Bibliography note
- Includes bibliographical references and index
- Carrier category
- volume
- Carrier category code
-
- nc
- Carrier MARC source
- rdacarrier
- Content category
- text
- Content type code
-
- txt
- Content type MARC source
- rdacontent
- Control code
- 77258189
- Dimensions
- 24 cm
- Extent
- xiii, 422 pages
- Isbn
- 9783764380960
- Isbn Type
- (hbk.)
- Media category
- unmediated
- Media MARC source
- rdamedia
- Media type code
-
- n
- System control number
- (OCoLC)77258189
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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.library.missouri.edu/portal/Holomorphic-Morse-inequalities-and-Bergman/7ZL_Mcyz47g/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/Holomorphic-Morse-inequalities-and-Bergman/7ZL_Mcyz47g/">Holomorphic Morse inequalities and Bergman kernels, Xiaonan Ma, George Marinescu</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>
