Virtual Euler characteristics via topological recursion
Mathematical Physics
2024-01-17 v3 Algebraic Geometry
math.MP
Abstract
We use Seiberg--Witten-like relations in the topological recursion framework to obtain virtual Euler characteristics for uni- and multicellular maps for ensembles of classic orthogonal polynomials and for ensembles related to nonorientable surfaces. We also discuss Harer--Zagier-type recursion relations for 1-point correlation function for the Legendre ensemble.
Cite
@article{arxiv.2212.04093,
title = {Virtual Euler characteristics via topological recursion},
author = {Leonid O. Chekhov},
journal= {arXiv preprint arXiv:2212.04093},
year = {2024}
}
Comments
13 pages, 1 figure, version 2 with extensive revision. Version 3: added description of moduli spaces of nonoriented surfaces