Year: 2026
Type: preprint
Abstract: We use the method of equivariant localization to obtain a recursion for the cobordism-valued one-point psi-class intersections on $\overline{\mathcal{M}}_{0,n}$, and hence the cobordism classes $[\overline{\mathcal{M}}_{0,n}]$. Restricting to the hyperbolic formal group law, we recover the Poincaré polynomials of $\overline{\mathcal{M}}_{0,n}$ as a special case, and obtain new formulas for Hirzebruch $χ_y$-genera of $\overline{\mathcal{M}}_{0,n}$ twisted by tautological line bundles.
Source: arXiv (Cornell University)
Author: Ellis-Bloor, Benjamin
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7224109753