Riccardo Ontani

activity

20192026

most citedSome Remarks on the Operators' Formalism for Nonlocal Poisson Brackets

1 citations · 2 across the 5 of their papers we have counts for

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4 papers · 1 filter

math.AG2026

Virtual Jeffrey--Kirwan localisation

Riccardo Ontani, Richard P. Thomas

We express integrals over virtual cycles of GIT quotients $X / / G$ in terms of integrals over virtual cycles of fixed loci $X^{T}$ . The results hold for both perfect obstruction th…

math.AG2025

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…

math.AG2025

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 $V / / G$ , where $V$ is a representation of a reductive group $G$ . In particular we consider inte…

math.AG2023★ 1 cited

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 $(DT$ , $χ_{y}$ , $Ell)$ of critical loci in quo…