| Description |
1 online resource |
| Series |
Contemporary mathematics ; 711 |
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Contemporary mathematics (American Mathematical Society) ; v. 711.
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| 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; References; Vertex rings and their Pierce bundles; 1. Introduction; 2. Basic properties of vertex rings |
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3. Derivations4. 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; References; Cosets of the ̂{ }(₄, _{ })-algebra; 1. Introduction; 2. Vertex algebras; 3. The algebra \cŴ{ }(₄, _{ }); 4. The (1)-orbifold of \cŴ{ }(₄, _{ })̂{ (1)} |
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5. The Heisenberg coset of \cŴ{ }(₄, _{ })6. Simple current extensions and \cW_{ℓ}(_{ }, _{ }); References; A sufficient condition for convergence and extension property for strongly graded vertex algebras; 1. Introduction; 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; References; On infinite order simple current extensions of vertex operator algebras; 1. Introduction; 2. Background |
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3. Sum completion of a category \CCC4. Constructing lattice VOAs; Acknowledgments; References; Back Cover |
| Summary |
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 categories, with topics in vertex rings, chiral algebroids, the Higgs branch conjecture, and applicability and use of vertex tensor categories |
| Bibliography |
Includes bibliographical references and index |
| Subject |
Vertex operator algebras -- Congresses
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Operator algebras -- Congresses
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Geometry, Algebraic -- Congresses
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Geometry, Algebraic
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Operator algebras
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Vertex operator algebras
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Quantum theory -- Groups and algebras in quantum theory -- Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, $W$-algebras and other current algebras and their representations.
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Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Vertex operators; vertex operator algebras and related structures.
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| Genre/Form |
Conference papers and proceedings
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| Form |
Electronic book
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| Author |
Creutzig, Thomas, 1980- editor.
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Linshaw, Andrew R., 1976- editor.
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| ISBN |
9781470448486 |
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1470448483 |
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