M. Levine

activity

20242026

collaborators

4 papers

math.AG2026

A relative orientation for the moduli space of stable maps to a del Pezzo surface

Jesse Leo Kass, Marc Levine, Jake P. Solomon +1

We prove orientation results for evaluation maps of moduli spaces of rational stable maps to del Pezzo surfaces over a field, both in characteristic $0$ and in positive characteris…

math.AG2026

A quadratically enriched count of rational curves

Jesse Leo Kass, Marc Levine, Jake P. Solomon +1

We define a quadratically enriched count of rational curves in a given divisor class passing through a collection of points on a del Pezzo surface $S$ of degree $\geq 3$ over a per…

math.AG2025

Atiyah-Bott localization in equivariant Witt cohomology

Marc Levine

Let $N$ be a normalizer of the diagonal torus $T_{1} ≅ G_{m}$ in $SL_{2}$ . We prove localization theorems for $SL_{2}^{n}$ and $N^{n}$ for equivariant cohomology with…

math.AG2024

Virtual Localization in equivariant Witt cohomology

Marc Levine

We prove an analog of the virtual localization theorem of Graber-Pandharipande, in the setting of an action by the normalizer of the torus in $SL_{2}$ , and with the Chow group…