Explicit formulae for one-part double Hurwitz numbers with completed 3-cycles
Combinatorics
2016-03-02 v1 Algebraic Geometry
Group Theory
Abstract
We prove two explicit formulae for one-part double Hurwitz numbers with completed 3-cycles. We define "combinatorial Hodge integrals" from these numbers in the spirit of the celebrated ELSV formula. The obtained results imply some explicit formulae and properties of the combinatorial Hodge integrals.
Keywords
Cite
@article{arxiv.1603.00012,
title = {Explicit formulae for one-part double Hurwitz numbers with completed 3-cycles},
author = {Viet Anh Nguyen},
journal= {arXiv preprint arXiv:1603.00012},
year = {2016}
}
Comments
22 pages. Part of the PhD thesis the author is preparing. Comments are welcome!