%0 Journal Article
%T A geometric perspective on the piecewise polynomiality of double Hurwitz numbers
%A Renzo Cavalieri
%A Steffen Marcus
%J Mathematics
%D 2013
%I arXiv
%X 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.
%U http://arxiv.org/abs/1310.4040v1