10 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…
Automorphisms of the boundary complex of
Arjun Joisha, Siddarth Kannan
We compute the automorphism group of the dual complex of the boundary divisor in the Kontsevich moduli space . W…
The -equivariant Chow polynomial of the braid matroid
Siddarth Kannan, Lukas Kühne
We determine the generating function for the -equivariant Chow polynomials of the braid matroid . The Chow polynomial of is the Poincaré polynomial of the…
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…