1 citations · 2 across the 5 of their papers we have counts for
5 papers
Virtual Jeffrey--Kirwan localisation
Riccardo Ontani, Richard P. Thomas
We express integrals over virtual cycles of GIT quotients in terms of integrals over virtual cycles of fixed loci . The results hold for both perfect obstruction th…
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 Vafa-Intriligator formula for semi-positive quotients of linear spaces
Riccardo Ontani
We consider genus zero quasimap invariants of smooth projective targets of the form , where is a representation of a reductive group . In particular we consider inte…
Virtual invariants of critical loci in GIT quotients of linear spaces
Riccardo Ontani
We use an equivariant version of the localization formula of Jeffrey and Kirwan to prove a formula for virtual invariants , , of critical loci in quo…
Some Remarks on the Operators' Formalism for Nonlocal Poisson Brackets
Riccardo Ontani
A common approach to the theory of nonlocal Poisson brackets, seen from the operatorial point of view, has been to keep implicit the sets on which these brackets act. In this paper…