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Instantons on ALE spaces for classical groups

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arxiv 1801.06286 v1 pith:J2LQM4DC submitted 2018-01-19 math.DG hep-thmath.AGmath.RT

classification math.DGhep-thmath.AGmath.RT
keywords groupsclassicaldescriptioninstantonsspacesadhmextensiongive
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We give an ADHM type description of instantons on ALE spaces for classical groups as an extension of the description in [KN90] for unitary groups.

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Cited by 2 Pith papers

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  1. Orthosymplectic modules of cohomological Hall algebras

    math.AG 2025-01 conditional novelty 7.0 of 10

    Classical type parabolic induction produces twisted Yetter-Drinfeld vertex modules for cohomological Hall algebras, including cases of dimension-zero sheaves on surfaces.

  2. Perverse filtration on Hilbert schemes via upward flow

    math.AG 2026-06 unverdicted novelty 6.0 of 10

    The perverse Leray filtration on top cohomology of Hilb(Σ×ℂ) is computed explicitly in the ℂ*-upward-flow basis, yielding a triangular change-of-basis from complete homogeneous to power-sum symmetric functions.

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