A matrix model for simple Hurwitz numbers, and topological recursion
From MaRDI portal
Publication:629388
DOI10.1016/j.geomphys.2010.10.017zbMath1225.14043arXiv0906.1206OpenAlexW2013144365MaRDI QIDQ629388
Gaëtan Borot, Bertrand Eynard, Brad Safnuk, Motohico Mulase
Publication date: 9 March 2011
Published in: Journal of Geometry and Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0906.1206
Enumerative problems (combinatorial problems) in algebraic geometry (14N10) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Topological field theories in quantum mechanics (81T45)
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Cites Work
- Unnamed Item
- Virasoro constraints for Kontsevich-Hurwitz partition function
- Recursion between Mumford volumes of moduli spaces
- Remodeling the B-model
- Invariants of algebraic curves and topological expansion
- KP hierarchy for Hodge integrals
- Toda equations for Hurwitz numbers
- Hurwitz numbers and intersections on moduli spaces of curves.
- Hodge integrals and Gromov-Witten theory
- The Gromov-Witten Potential of A Point, Hurwitz Numbers, and Hodge Integrals
- Differential Operators on a Semisimple Lie Algebra
- Jordan Algebras with Three Generators
- Hurwitz numbers, matrix models and enumerative geometry
- The planar approximation. II
- Transitive factorisations into transpositions and holomorphic mappings on the sphere
- All order asymptotic expansion of large partitions