The symposium was held during July 2016 in Charlotte, North Carolina and the 16 papers provide a snapshot of rapid developments in the emerging research field of topological recursion, which developed independently in random matrix theory/matrix models and in geometry. Among the topics are the Gopakumar-Ooguri-Vafa correspondence for Clifford-Klein 3-manifolds, the hybrid Landau-Ginzburg models of Calabi-Yau complete intersections, the quantization of spectral curves for meromorphic Higgs bundles through topological recursion, graph sums in the remodeling conjecture, airy structures and the symplectic geometry of topological recursion, and quantum curves for simple Hurwitz numbers of an arbitrary base curve. Annotation ©2019 Ringgold, Inc., Portland, OR (protoview.com)
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Hardcover. Condizione: new. Hardcover. 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. Contains the proceedings of the 2016 AMS von Neumann Symposium on Topological Recursion and its Influence in Analysis, Geometry, and Topology, held in 2016. The papers present a snapshot of rapid and rich developments in the emerging research field known as topological recursion. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Codice articolo 9781470435417
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