Hodge integrals and Hurwitz numbers via virtual localization
Tom Graber, Ravi Vakil
Abstract
Ekedahl, Lando, Shapiro, and Vainshtein announced a remarkable formula expressing Hurwitz numbers (counting covers of the projective line with specified simple branch points, and specified branching over one other point) in terms of Hodge integrals. We give a proof of this formula using virtual localization on the moduli space of stable maps, and describe how the proof could be simplified by the proper algebro-geometric definition of a "relative space".
Create a lesson
Related papers
Integral and higher-genus quantum McKay correspondence in type D
Andrea Brini, Jingxiang Ma
Tensor-generating line bundles on toric varieties
Daigo Ito, Michael R. Zeng, Xiangru Zeng
Deterministic Determination of Axial Constants, Sectional Regularities and Annihilator Numbers
Amir Hashemi, Rozhin Sadr, Werner M. Seiler
Series of Fano quiver moduli from extended Dynkin quivers
Pieter Belmans, Markus Reineke
Gluing weak approximability along recollements
Pat Lank
The monodromy conjecture for high order poles, and norms of residue antiderivatives
Alexander Esterov