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math.AG2025
Computations in equivariant Gromov-Witten theory of GKM spaces
Daniel Holmes, Giosuè Muratore
We study equivariant Gromov-Witten invariants and quantum cohomology in GKM theory. Building on the localization formula, we prove that the resulting expression is independent of t…
math.AG2025
Quadratic counts of highly tangent lines to hypersurfaces
Stephen McKean, Giosuè Muratore, Wern Juin Gabriel Ong
We give two geometric interpretations for the local type of a line that is highly tangent to a hypersurface in a single point. One interpretation is phrased in terms of the Wronski…