Explicit formulae for one-part double Hurwitz numbers with completed 3-cycles
arXiv:1603.00012
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.
22 pages. Part of the PhD thesis the author is preparing. Comments are welcome!