Vertex algebras and geometry / Thomas Creutzig, Andrew R. Linshaw, editors.

Format:

Book

Contributor:

Creutzig, Thomas, 1980- editor.

Linshaw, Andrew R., 1976- editor.

Series:

Contemporary mathematics (American Mathematical Society). 0271-4132 711

Contemporary mathematics, 711 0271-4132

Language:

English

Subjects (All):

Vertex operator algebras--Congresses.

Vertex operator algebras.

Operator algebras--Congresses.

Operator algebras.

Geometry, Algebraic--Congresses.

Geometry, Algebraic.

Physical Description:

1 online resource (178 pages).

Edition:

1st ed.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, [2018]

Summary:

Contains some papers from AMS Special Session on Vertex Algebras and Geometry, October 8-9, 2016, Denver, Colorado; and from Mini-Conference on Vertex Algebras, October 10-11, 2016, Denver, Colorado.

Contents:

Cover

Title page

Contents

Introduction

Strongly homotopy chiral algebroids

1. Introduction

2. TDO

3. Picard-Lie ∞-algebroids

4. Beilinson-Drinfeld

5. CDO

6. Chiral ∞-algebroids

References

Associated varieties and Higgs branches (a survey)

1. Associated varieties of vertex algebras

2. Lisse and quasi-lisse vertex algebras

3. Irreducibility conjecture and examples of quasi-lisse vertex algebras

4. BL²PR² correspondence and Higgs branch conjecture

Acknowledgments

Vertex rings and their Pierce bundles

2. Basic properties of vertex rings

3. Derivations

4. Characterizations of vertex rings

5. Categories of vertex rings

6. The center of a vertex ring

7. Virasoro vertex -algebras

8. Étale bundles of vertex rings

9. Pierce bundles of vertex rings

10. Von Neumann regular vertex rings

11. Equivalence of some categories of vertex rings

12. Appendices

Cosets of the ^{ }( ₄, _{ })-algebra

2. Vertex algebras

3. The algebra \cW^{ }( ₄, _{ })

4. The (1)-orbifold of \cW^{ }( ₄, _{ })^{ (1)}

5. The Heisenberg coset of \cW^{ }( ₄, _{ })

6. Simple current extensions and \cW_{ℓ}( _{ }, _{ })

A sufficient condition for convergence and extension property for strongly graded vertex algebras

2. Strongly graded vertex algebras and their modules

3. ₁-cofiniteness condition

4. Logarithmic intertwining operators

5. Differential equations

6. The regularity of the singular points

7. Braided tensor category structure

On infinite order simple current extensions of vertex operator algebras

2. Background

3. Sum completion of a category \CCC

4. Constructing lattice VOAs.

Acknowledgments

Back Cover.

Notes:

Includes bibliographical references.

Description based on print version record.

ISBN:

1-4704-4848-3