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Topological Recursion and its Influence in Analysis, Geometry, and Topology

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£130.53 £91.24 £99.81 £108.38 £116.96 £125.53 £134.10 10 June 2024 16 November 2024 24 April 2025 30 September 2025 09 March 2026

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Description

About the Author Chiu-Chu Melissa Liu, Columbia University, New York, NY.Motohico Mulase, University of California, Davis, CA. Product Description This volume contains the proceedings of the 2016 AMS von Neumann Symposium on Topological Recursion and its Influence in Analysis, Geometry, and Topology, which was held from July 4-8, 2016, at the Hilton Charlotte University Place, Charlotte, North Carolina. The papers contained in the volume present a snapshot of rapid and rich developments in the emerging research field known as topological recursion. It has its origin around 2004 in random matrix theory and also in Mirzakhani's work on the volume of moduli spaces of hyperbolic surfaces.Topological recursion has played a fundamental role in connecting seemingly unrelated areas of mathematics such as matrix models, enumeration of Hurwitz numbers and Grothendieck's dessins d'enfants, Gromov-Witten invariants, the A-polynomials and colored polynomial invariants of knots, WKB analysis, and quantization of Hitchin moduli spaces. In addition to establishing these topics, the volume includes survey papers on the most recent key accomplishments: discovery of the unexpected relation to semi-simple cohomological field theories and a solution to the remodeling conjecture. It also provides a glimpse into the future research direction; for example, connections with the Airy structures, modular functors, Hurwitz-Frobenius manifolds, and ELSV-type formulas.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
30 December 2018
Listed Since
25 September 2018

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