4 papers
Quantum -invariants via Quot schemes I
Shubham Sinha, Ming Zhang
We study the virtual Euler characteristics of sheaves over Quot schemes of curves, establishing that these invariants fit into a topological quantum field theory (TQFT) valued in $…
Intersection Theory of Hyperquot Schemes on curves
Riccardo Ontani, Shubham Sinha, Weihong Xu
We study the virtual intersection theory of Hyperquot schemes parameterizing sequences of quotient sheaves of a vector bundle on a smooth projective curve. Our results generalize t…
A Borel--Weil--Bott theorem for Quot schemes on
Ajay Gautam, Feiyang Lin, Shubham Sinha
We study the cohomology groups of tautological bundles on Quot schemes over the projective line, which parametrize rank quotients of a vector bundle on . Our…
A short way of counting maps to hypersurfaces in Grassmannians
Alina Marian, Shubham Sinha
Using a Quot scheme compactification, we calculate the virtual count of maps of degree from a smooth projective curve of genus to a hypersurface in a Grassmannian, sending…