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Vertex Algebras and Geometry.

By: Contributor(s): Material type: TextTextSeries: Contemporary Mathematics SeriesPublisher: Providence : American Mathematical Society, 2018Copyright date: ©2018Edition: 1st edDescription: 1 online resource (178 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781470448486
Subject(s): Genre/Form: Additional physical formats: Print version:: Vertex Algebras and GeometryDDC classification:
  • 512/.556
LOC classification:
  • QA329 .V47 2018
Online resources:
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 -- 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 -- References -- Cosets of the ^{ }( ₄, _{ })-algebra -- 1. Introduction -- 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}( _{ }, _{ }) -- 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 -- 3. Sum completion of a category \CCC -- 4. 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.
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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 -- 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 -- References -- Cosets of the ^{ }( ₄, _{ })-algebra -- 1. Introduction -- 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}( _{ }, _{ }) -- 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 -- 3. Sum completion of a category \CCC -- 4. Constructing lattice VOAs.

Acknowledgments -- References -- Back Cover.

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.

Description based on publisher supplied metadata and other sources.

Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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