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The Resource Holomorphic Morse inequalities and Bergman kernels, Xiaonan Ma, George Marinescu

Holomorphic Morse inequalities and Bergman kernels, Xiaonan Ma, George Marinescu

Label
Holomorphic Morse inequalities and Bergman kernels
Title
Holomorphic Morse inequalities and Bergman kernels
Statement of responsibility
Xiaonan Ma, George Marinescu
Creator
Contributor
Subject
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
Member of
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
Instantiates
Publication
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
Publication
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

Library Locations

    • Mathematical Sciences LibraryBorrow it
      104 Ellis Library, Columbia, MO, 65201, US
      38.944377 -92.326537
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