Verfügbarkeit: Bergman Kernels and symplectic reduction

Bergman Kernels and symplectic reduction:

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Bibliographische Detailangaben
Beteiligte Personen:	Ma, Xiaonan (VerfasserIn), Zhang, Weiping (VerfasserIn)
Format:	Buch
Sprache:	Englisch
Veröffentlicht:	Paris 2008
Schriftenreihe:	Astérisque 318
Schlagwörter:	Análise global Bergman kernel functions Index theory (Mathematics) Symplectic manifolds Variational inequalities (Mathematics) Bergman-Kernfunktion Symplektische Mannigfaltigkeit Dirac-Operator
Links:	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017016177&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Umfang:	VIII, 154 S.
ISBN:	9782856292556

Internformat

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Datensatz im Suchindex

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adam_text	Titel: Bergman Kernels and symplectic reduction Autor: Ma, Xiaonan Jahr: 2008 CONTENTS 0. Introduction ..............................................................................................................................1 1. Connections and Laplacians associated to a principal bundle ................................................................................15 1.1. Connections associated to a principal bundle ........................................................15 1.2. Curvatures and Laplacians associated to a principal bundle ..........................17 2. G-invariant Bergman kernels ......................................................................21 2.1. Casimir operator ................................................................................................................22 2.2. Spinc Dirac operator ........................................................................................................23 2.3. G-invariant Bergman kernel ..........................................................................................25 2.4. Localization of the problem and proof of Theorem 0.1 ......................................27 2.5. Induced operator on U/G ..............................................................................................32 2.6. Rescaling and a Taylor expansion of the operator 4 £p4 -1 ............................33 2.7. Uniform estimate on the G-invariant Bergman kernel ......................................41 2.8. Evaluation of Jr?u ..............................................................................................................53 2.9. Proof of Theorem 0.2 ........................................................................................................54 3. Evaluation of ..................................................................................................................57 3.1. Spectrum of _^2° ..................................................................................................................^ 3.2. Evaluation of P^: a proof of (0.12) and (0.13) ..................................................60 3.3. A formula for 0 ................................................................................................................62 3.4. Example (CP1,2 lofs) ......................................................................................................67 4. Applications ..............................................................................................................................71 4.1. Orbifold case ........................................................................................................................71 4.2. tf-weight Bergman kernel on AT ....................................................................................74 4.3. Averaging the Bergman kernel; a direct proof of (0.15) and (0.16) ............76 4.4. Berezin-Toeplitz quantization ......................................................................................79 4.5. Toeplitz operators on Xq ..............................................................................................85 4.6. Generalization to non-compact manifolds ..............................................................90 viii CONTENTS 4.7. Relation 011 the Bergman kernel on Xc ................................. 92 5. Computing the coefficient $1 ............................................ 95 5.1. The second fundamental form of P ...................................... 96 5.2. The operators 0 , O2 in (2.102) ......................................... 98 5.3. Computation of the coefficient .......................................112 5.4. Final computations: the proof of Theorem 0.6 ..........................122 5.5. Coefficient I i: general case .............................................124 6. The coefficient P^(0, 0) ..................................................127 6.1. The terms ^li3, ii;4 ...............................................127 6.2. The term ^ii2 ...........................................................132 6.3. Proof of Theorem 0.7 ....................................................145 7. Bergman kernel and geometric quantization ...................................................147 Bibliography ..................................................................149 Index ..........................................................................153 ASTfcRtSQUK 318
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id	DE-604.BV035209939
illustrated	Not Illustrated
indexdate	2024-12-20T13:25:57Z
institution	BVB
isbn	9782856292556
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-017016177
oclc_num	297127521
open_access_boolean
owner	DE-19 DE-BY-UBM DE-824 DE-29T DE-384 DE-83 DE-11 DE-188 DE-355 DE-BY-UBR
owner_facet	DE-19 DE-BY-UBM DE-824 DE-29T DE-384 DE-83 DE-11 DE-188 DE-355 DE-BY-UBR
physical	VIII, 154 S.
publishDate	2008
publishDateSearch	2008
publishDateSort	2008
record_format	marc
series	Astérisque
series2	Astérisque
spellingShingle	Ma, Xiaonan Zhang, Weiping Bergman Kernels and symplectic reduction Astérisque Análise global larpcal Bergman kernel functions Index theory (Mathematics) Symplectic manifolds Variational inequalities (Mathematics) Bergman-Kernfunktion (DE-588)4236138-2 gnd Symplektische Mannigfaltigkeit (DE-588)4290704-4 gnd Dirac-Operator (DE-588)4150118-4 gnd
subject_GND	(DE-588)4236138-2 (DE-588)4290704-4 (DE-588)4150118-4
title	Bergman Kernels and symplectic reduction
title_auth	Bergman Kernels and symplectic reduction
title_exact_search	Bergman Kernels and symplectic reduction
title_full	Bergman Kernels and symplectic reduction Xiaonan Ma ; Weiping Zhang
title_fullStr	Bergman Kernels and symplectic reduction Xiaonan Ma ; Weiping Zhang
title_full_unstemmed	Bergman Kernels and symplectic reduction Xiaonan Ma ; Weiping Zhang
title_short	Bergman Kernels and symplectic reduction
title_sort	bergman kernels and symplectic reduction
topic	Análise global larpcal Bergman kernel functions Index theory (Mathematics) Symplectic manifolds Variational inequalities (Mathematics) Bergman-Kernfunktion (DE-588)4236138-2 gnd Symplektische Mannigfaltigkeit (DE-588)4290704-4 gnd Dirac-Operator (DE-588)4150118-4 gnd
topic_facet	Análise global Bergman kernel functions Index theory (Mathematics) Symplectic manifolds Variational inequalities (Mathematics) Bergman-Kernfunktion Symplektische Mannigfaltigkeit Dirac-Operator
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017016177&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV002579439
work_keys_str_mv	AT maxiaonan bergmankernelsandsymplecticreduction AT zhangweiping bergmankernelsandsymplecticreduction

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