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BL
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| Record Number
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850265
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| Main Entry
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Bouchard, Vincent.
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| Title & Author
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String-Math 2014.
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| Publication Statement
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Providence :: American Mathematical Society,, 2016.
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| Series Statement
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Proceedings of Symposia in Pure Mathematics ;; v. 93
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| Page. NO
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1 online resource (418 pages)
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| ISBN
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1470430150
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: 9781470430153
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| Notes
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5. Concluding remarks.
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| Contents
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Cover; Title page; Contents; Preface; List of Plenary Speakers for String-Math 2014; List of Contributed Speakers for String-Math 2014; List of Speakers for the String-Math Summer School; List of Speakers for the 'Calabi-Yau Manifolds and their Moduli' Workshop; List of Speakers for the 'Quantum Curves and Quantum Knot Invariants' Workshop; All genus mirror symmetry for toric Calabi-Yau 3-orbifolds; 1. Mirror Symmetry and Topological Strings on Calabi-Yau Geometry; 2. A-model Geometry and Topology; 3. A-model Topological Strings; 4. B-model Geometry and Topology.
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1. Introduction2. Cyclic Homology of Quiver Gauge Theories; 3. Examples; 4. Conclusion and Future Directions; Acknowledgements; References; Differential K-characters and D-branes; 1. Introduction; 2. Ordinary differential cohomology and Ramond-Ramond fields; 3. Differential -theory and Ramond-Ramond fields; 4. Differential -characters; 5. Differential -characters, D-branes and Ramond-Ramond fields; References; Integral pentagon relations for 3d superconformal indices; 1. Introduction; 2. The superconformal index; 3. Integral pentagon identities; 4. Generalized superconformal index.
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3. Enumerative examples3.1. Gromov-Witten invariants of \bp¹; 3.2. Belyi maps; References; A few recent developments in 2d (2,2) and (0,2) theories; 1. Introduction; 2. Review of quantum sheaf cohomology; 3. (0,2) mirror symmetry; 4. Two-dimensional gauge dualities; 5. Decomposition in two-dimensional nonabelian gauge theories; 6. Heterotic moduli; 7. Conclusions; References; Codimension two defects and the Springer correspondence; 1. Introduction; 2. Boundary conditions for =4 SYM; 3. Springer correspondence and the Springer invariant; 4. Classification via Symmetry breaking.
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5. B-model Topological Strings6. All Genus Open-Closed Mirror Symmetry; References; Symmetries and defects in three-dimensional topological field theory; 1. Introduction; 2. Topological defects in quantum field theories; 3. Defects and boundary conditions in three-dimensional topological field theories; 4. Conclusions; References; Quantum curves and topological recursion; 1. Introduction; 1.1. Model enumerative problem; 1.2. WKB method; 1.3. Relations between quantum curves and topological recursion; 1.4. Why are quantum curves useful?; 2. Topological recursion; 2.1. Choice of primitive.
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AcknowledgementsReferences; Higher spin AdS₃ holography and superstring theory; 1. Introduction; 2. A review of ABJ triality; 3. Higher spin AdS₃ holography with CP factor; 4. Relations to superstring theory; 5. Conclusion; References; Humbert surfaces and the moduli of lattice polarized K3 surfaces; 1. Introduction; 2. Lattice polarizations and the Gauss-Manin connection; 3. Product of two elliptic curves; 4. Lattice-polarized K3 surfaces; 5. The Griffiths-Dwork technique; 6. Calculating the Gauss-Manin connection; References; Superconformal field theories and cyclic homology.
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| Abstract
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The conference String-Math 2014 was held from June 9-13, 2014, at the University of Alberta. This edition of String-Math is the first to include satellite workshops: "String-Math Summer School" (held from June 2-6, 2014, at the University of British Columbia), "Calabi-Yau Manifolds and their Moduli" (held from June 14-18, 2014, at the University of Alberta), and "Quantum Curves and Quantum Knot Invariants" (held from June 16-20, 2014, at the Banff International Research Station). This volume presents the proceedings of the conference and satellite workshops. For mathematics, string theory has.
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| Subject
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K-theory.
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| Dewey Classification
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516.35
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| LC Classification
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QA564.S77 2014
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| Added Entry
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Doran, Charles.
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Méndez-Diez, Stefan.
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Quigley, Callum.
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