GUE via Frobenius Manifolds. I. From Matrix Gravity to Topological Gravity and Back
Abstract
Dubrovin establishes the relationship between the GUE partition function and the partition function of GromovWitten invariants of the complex projective line. In this paper, we give a direct proof of Dubrovin's result. We also present in a diagram the recent progress on topological gravity and matrix gravity.
 Publication:

arXiv eprints
 Pub Date:
 May 2022
 arXiv:
 arXiv:2205.01618
 Bibcode:
 2022arXiv220501618Y
 Keywords:

 Mathematical Physics;
 High Energy Physics  Theory;
 Mathematics  Algebraic Geometry;
 Nonlinear Sciences  Exactly Solvable and Integrable Systems
 EPrint:
 24 pages