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

Language: English

Published by American Mathematical Society, US, 2018

1470435411 / 9781470435417

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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.…

Seller Inventory # LU-9781470435417

Title
Topological Recursion and Its Influence in Analysis, Geometry, and Topology
Author
Chiu-Chu Melissa Liu
Publisher
American Mathematical Society, US
Publication year
2018
Condition
New
Binding
Hardback
Language
English
ISBN 10
1470435411
ISBN 13
9781470435417
Item weight
1,132 grams

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