S. Kannan

activity

20192026

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11 papers · 1 filter

math.AG2026

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 $ε$ -stable quasimaps to the Grassmannian…

math.AG2026

Automorphisms of the boundary complex of $M_{0, n} (P^{r}, d)$

Arjun Joisha, Siddarth Kannan

We compute the automorphism group of the dual complex $T_{d, n}$ of the boundary divisor in the Kontsevich moduli space $M_{0, n} (P^{r}, d)$ . W…

math.AG2026

Euler characteristics of the universal Picard stack

Siddarth Kannan

We study $S_{n}$ -equivariant weight-graded and topological Euler characteristics of the universal Picard stack $Pic_{g, n}^{d} \to M_{g, n}$ of degree- $d$ l…

math.AG2026

Virtual Hodge numbers of $M_{g, n} (P^{r}, d)$ : stability and calculations

Siddarth Kannan, Terry Dekun Song

We study $S_{n}$ -equivariant motivic invariants of the moduli space $M_{g, n} (P^{r}, d)$ of degree- $d$ maps from $n$ -pointed curves of genus $g$ to $\mathbb…

math.AG2025

Graph enumeration for moduli spaces of curves and maps

Siddarth Kannan, Terry Dekun Song

We develop a calculus based on graph enumeration for $S_{n}$ -equivariant motivic invariants of graphically stratified moduli spaces. We apply our theory to the Deligne--Mumford modul…

math.AG2025

Representation stability for moduli spaces of admissible covers

Megan Chang-Lee, Siddarth Kannan, Philip Tosteson

We prove a representation stability result for the sequence of spaces $M_{g, n}^{A}$ of pointed admissible $A$ -covers of stable $n$ -pointed genus- $g$ curves, for an abelian…

Motivic quasimap wall-crossing for Grassmannians

Automorphisms of the boundary complex of M0,n​(Pr,d)

Euler characteristics of the universal Picard stack

Virtual Hodge numbers of Mg,n​(Pr,d): stability and calculations

Graph enumeration for moduli spaces of curves and maps

Representation stability for moduli spaces of admissible covers

Automorphisms of the boundary complex of $M_{0, n} (P^{r}, d)$

Virtual Hodge numbers of $M_{g, n} (P^{r}, d)$ : stability and calculations