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Virtual invariants of critical loci in GIT quotients of linear spaces

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arxiv 2311.07400 v1 pith:N7EQZUAD submitted 2023-11-13 math.AG

Riccardo Ontani This is my paper · ORCID
classification math.AG
keywords criticalinvariantslocispacesformulalinearquotientstext
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abstract

We use an equivariant version of the localization formula of Jeffrey and Kirwan to prove a formula for virtual invariants $(\text{DT}$, $\chi_y$, $\text{Ell})$ of critical loci in quotients of linear spaces by actions of reductive algebraic groups. In particular we recover formulae for the invariants of critical loci of potentials in moduli spaces of quiver representations predicted by physicists.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Crystals and Double Quiver Algebras from Jeffrey-Kirwan Residues

    hep-th 2025-01 conditional novelty 7.0 of 10

    For quivers satisfying a no-overlap condition, flavored BPS indices are computed by crystal melting derived from Jeffrey-Kirwan residues, and new double quiver algebras are constructed whose crystal representations en...

  2. Gauge origami on broken lines

    math.AG 2025-02 conditional novelty 6.0 of 10

    The gauge origami partition function on broken lines equals a plethystic exponential and factorizes into rank-one contributions.

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