Generalized boundary strata classes

Abstract

We describe a generalization of the usual boundary strata classes in the Chow ring of ${\overline{\mathcal{M}}}_{g,n}$. The generalized boundary strata classes additively span a subring of the tautological ring. We describe a multiplication law satisfied by these classes and check that every double ramification cycle lies in this subring.

For the Proceedings of the 2017 Abel Symposium, 10 pages