8 papers
Motivic quasimap wall-crossing for Grassmannians
Siddarth Kannan, Terry Dekun Song
We prove a wall-crossing formula for the Euler characteristics, considered as virtual mixed Hodge structures, of moduli spaces of -stable quasimaps to the Grassmannian…
Logarithmic Hilbert schemes of curves as weighted blow-ups and their integral Chow rings
Veronica Arena, Terry Dekun Song
The logarithmic Hilbert scheme of a logarithmic curve parametrizes subschemes on the expanded degenerations of the curve that are transverse to the boundary. We prove that the loga…
The -equivariant Euler characteristic of
Siddarth Kannan, Terry Dekun Song
We compute the -equivariant topological Euler characteristic of the Kontsevich moduli space . Letting $\overline{\mathcal{M}}_{…
The dual complex of via the geometry of the Vakil--Zinger moduli space
Siddarth Kannan, Terry Dekun Song
We study normal crossings compactifications of the moduli space of maps , for and . In each case we explicitly determine the dua…
Pólya enumeration, wreath product symmetric functions, and moduli spaces of curves
Siddarth Kannan, Terry Dekun Song
We develop a calculus for -equivariant Euler characteristics of moduli spaces of stable curves and stable maps. Our approach involves an enrichment of Pólya's cycle index pol…
Topology of the Vakil--Zinger moduli space
Terry Dekun Song
We derive a set of generators for the rational homology of the desingularised genus one mapping space constructed by Vakil--Zinger a…