The theory of vertex operator algebras and their representations has been showing its power in the solution of concrete mathematical problems and in the understanding of conceptual but subtle mathematical and physical strucΒ tures of conformal field theories. Much of the recent progress has deep con
Two-Dimensional Conformal Geometry and Vertex Operator Algebras
β Scribed by Yi-Zhi Huang (auth.)
- Publisher
- BirkhΓ€user Basel
- Year
- 1995
- Tongue
- English
- Leaves
- 288
- Series
- Progress in Mathematics 148
- Edition
- 1
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Synopsis
"The exposition is clear and accessible. The necessary background material...is explained in detail in three appendices [and] another appendix consists of answers to some exercises formulated in the text... Self-contained to a high degree... Highly recommended."
--ZAA
β¦ Table of Contents
Front Matter....Pages i-xiii
Introduction....Pages 1-16
Spheres with tubes....Pages 17-33
Algebraic study of the sewing operation....Pages 35-62
Geometric study of the sewing operation....Pages 63-92
Realizations of the sewing identities....Pages 93-107
Geometric vertex operator algebras....Pages 109-141
Vertex partial operads....Pages 143-170
The isomorphism theorem and applications....Pages 171-183
Back Matter....Pages 185-282
β¦ Subjects
Algebraic Geometry;Operator Theory;Topological Groups, Lie Groups;Mathematical Methods in Physics;Geometry;Algebra
π SIMILAR VOLUMES
The authors consider unitary simple vertex operator algebras whose vertex operators satisfy certain energy bounds and a strong form of locality and call them strongly local. They present a general procedure which associates to every strongly local vertex operator algebra $V$ a conformal net $\mathca
This book contains the proceedings of the AMS Special Session on Vertex Algebras and Geometry, held from October 8-9, 2016, and the mini-conference on Vertex Algebras, held from October 10-11, 2016, in Denver, Colorado. The papers cover vertex algebras in connection with geometry and tensor catego
<p><P>The rapidly-evolving theory of vertex operator algebras provides deep insight into many important algebraic structures. Vertex operator algebras can be viewed as "complex analogues" of both Lie algebras and associative algebras. They are mathematically precise counterparts of what are known in
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