A geometric perspective on the piecewise polynomiality of double Hurwitz numbers
Algebraic Geometry
2013-10-16 v1
Abstract
We describe double Hurwitz numbers as intersection numbers on the moduli space of curves. Assuming polynomiality of the Double Ramification Cycle (which is known in genera 0 and 1), our formula explains the polynomiality in chambers of double Hurwitz numbers, and the wall crossing phenomenon in terms of a variation of correction terms to the {\psi} classes. We interpret this as suggestive evidence for polynomiality of the Double Ramification Cycle.
Keywords
Cite
@article{arxiv.1310.4040,
title = {A geometric perspective on the piecewise polynomiality of double Hurwitz numbers},
author = {Renzo Cavalieri and Steffen Marcus},
journal= {arXiv preprint arXiv:1310.4040},
year = {2013}
}
Comments
15 pages, 5 figures