Elliptic genera and vertex operator super algebras:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | German |
| Published: |
Berlin [u.a.]
Springer
1999
|
| Series: | Lecture notes in mathematics
1704 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VI, 390 S. |
| ISBN: | 3540660062 |
Staff View
MARC
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| 245 | 1 | 0 | |a Elliptic genera and vertex operator super algebras |c Hirotaka Tamanoi |
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Record in the Search Index
| _version_ | 1804127203048292352 |
|---|---|
| adam_text | CONTENTS
Introduction and summary of results. 1
0.1 Towards the signature of loop spaces: Elliptic genus 1
0.2 Elliptic genera 4
0.3 Vertex operator super algebras 7
0.4 G invariant vertex operator super subalgebras and their
vertex operators 9
0.5 Classifying spaces of geometric structures on manifolds 13
0.6 Elliptic genera as modules over vertex operator super
algebras 16
0.7 Infinite dimensional symmetries of elliptic genera for Kahler
manifolds 17
Chapter I. Elliptic genera 22
1.1 Elliptic genera 22
1.2 Theta functions and elliptic functions 29
1.3 Proof of Theorem 4 of § 1.1 32
1.4 The modular properties of elliptic genera 35
1.5 On the divisibility of coefficients of the elliptic genus ip^ 42
1.6 Spinors on loop spaces: the Witten genus 46
Chapter II. Vertex operator super algebras 49
2.1 Vertex operator super algebras: A brief introduction 49
2.2 The infinite dimensional Clifford modules as vertex oper¬
ator super algebras and their modules 60
2.3 Clifford algebras, Virasoro algebras and afRne Lie algebras
as subalgebras of the vertex operator super algebra V 65
2.4 The adjoint operators of vertex operators 72
Chapter III. G invariant vertex operator super subalgebras 93
3.1 VG as vertex operator super algebra 93
3.2 Lie algebras as Lie subalgebras of Clifford algebras 94
3.3 Commutants of Lie subalgebras in o(2N) and Casimir
elements 104
3.4 Generating G invariant vectors in (V)» 111
3.5 Vertex operators associated to G invariant vectors of low
weight 122
3.6 Unitary Virasoro algebras 129
3.7 Vertex operators generated by complex volume forms 139
VI
3.8 Symplectic Virasoro algebras 147
3.9 Kahler forms in quaternionic vector spaces 174
3.10 Unitary Virasoro algebras in quaternionic vector spaces 185
3.11 Vertex operators for products of Kahler forms and their
commutators 188
3.12 Determination of (^ invariant vectors of low weight in the
vertex operator super algebra (V)» 211
Chapter IV. Geometric structures in vector spaces and
reductions of structure groups on manifolds 222
4.1 Some geometric structures in vector spaces 222
4.2 Moduli of geometric structures as G orbits in representa¬
tion spaces: Some examples of interest 236
4.3 A general theory of geometric structures in vector spaces
and their compatibilities 250
4.4 On connections and parallelism 268
4.5 Reductions of structure groups on manifolds and parallel
sections 285
Chapter V. Infinite dimensional symmetries in elliptic
genera for Kahler manifolds 303
5.1 Kahlerian manifolds 303
5.2 Generalizations of Riemannian metrics, Riemannian vol¬
ume forms, Kahler forms, complex volume forms, and
quaternion Kahler forms 313
5.3 Twisted G Dirac operators 326
5.4 Elliptic genera as modules over vertex operator super
algebras of parallel sections 337
5.5 Infinite dimensional symmetries in elliptic genera for
Kahler manifolds 357
References 379
Index of Notation 383
Subject Index 387
|
| any_adam_object | 1 |
| author | Tamanoi, Hirotaka 1958- |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| indexdate | 2024-07-09T18:29:37Z |
| institution | BVB |
| isbn | 3540660062 |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008525739 |
| oclc_num | 245816927 |
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| physical | VI, 390 S. |
| publishDate | 1999 |
| publishDateSearch | 1999 |
| publishDateSort | 1999 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Tamanoi, Hirotaka 1958- Verfasser (DE-588)121026736 aut Elliptic genera and vertex operator super algebras Hirotaka Tamanoi Berlin [u.a.] Springer 1999 VI, 390 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 1704 Elliptisches Geschlecht - Superalgebra - Vertexoperator Superalgebra (DE-588)4304028-7 gnd rswk-swf Elliptisches Geschlecht (DE-588)4318024-3 gnd rswk-swf Vertexoperator (DE-588)4188067-5 gnd rswk-swf Elliptisches Geschlecht (DE-588)4318024-3 s Vertexoperator (DE-588)4188067-5 s Superalgebra (DE-588)4304028-7 s DE-604 Lecture notes in mathematics 1704 (DE-604)BV000676446 1704 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008525739&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Tamanoi, Hirotaka 1958- Elliptic genera and vertex operator super algebras Lecture notes in mathematics Elliptisches Geschlecht - Superalgebra - Vertexoperator Superalgebra (DE-588)4304028-7 gnd Elliptisches Geschlecht (DE-588)4318024-3 gnd Vertexoperator (DE-588)4188067-5 gnd |
| subject_GND | (DE-588)4304028-7 (DE-588)4318024-3 (DE-588)4188067-5 |
| title | Elliptic genera and vertex operator super algebras |
| title_auth | Elliptic genera and vertex operator super algebras |
| title_exact_search | Elliptic genera and vertex operator super algebras |
| title_full | Elliptic genera and vertex operator super algebras Hirotaka Tamanoi |
| title_fullStr | Elliptic genera and vertex operator super algebras Hirotaka Tamanoi |
| title_full_unstemmed | Elliptic genera and vertex operator super algebras Hirotaka Tamanoi |
| title_short | Elliptic genera and vertex operator super algebras |
| title_sort | elliptic genera and vertex operator super algebras |
| topic | Elliptisches Geschlecht - Superalgebra - Vertexoperator Superalgebra (DE-588)4304028-7 gnd Elliptisches Geschlecht (DE-588)4318024-3 gnd Vertexoperator (DE-588)4188067-5 gnd |
| topic_facet | Elliptisches Geschlecht - Superalgebra - Vertexoperator Superalgebra Elliptisches Geschlecht Vertexoperator |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008525739&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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| work_keys_str_mv | AT tamanoihirotaka ellipticgeneraandvertexoperatorsuperalgebras |