GUE via Frobenius manifolds. I: From matrix gravity to topological gravity and back

DOI10.1007/s10114-024-2258-3zbMath1530.53086arXiv2205.01618OpenAlexW4390599416MaRDI QIDQ6139292

Di Yang

Publication date: 18 January 2024

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.01618

zbMATH Keywords

Frobenius manifoldtopological gravityDubrovin-Zhang hierarchyToda lattice hierarchymatrix gravityGaussian Unitary Ensemble partition function

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Applications of differential geometry to physics (53Z05) Topological field theories in quantum mechanics (81T45) Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60) Random matrices (algebraic aspects) (15B52) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45)

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