Cobordism-valued intersection theory on ${\overline{\mathcal{M}}}_{0,n}$

Abstract

We calculate the genus zero cobordism-valued Gromov-Witten invariants of a point by refining the string equation on ${\overline{\mathcal{M}}}_{0,n}$ from the Chow ring to algebraic cobordism. This gives inductive formulas for cobordism-valued psi-class intersections on ${\overline{\mathcal{M}}}_{0,n}$, and in particular the cobordism classes $[{\overline{\mathcal{M}}}_{0,n}]$, and for their images in $K$-theory. Explicit formulas are given up to $n=8$.

23 pages, comments welcome!