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Gromov-Witten Theory of $A_n$ type quiver varieties and Seiberg Duality

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arxiv 2112.11812 v3 pith:3P2X5JVA submitted 2021-12-22 math.AG

Yingchun Zhang This is my paper · ORCID
classification math.AG
keywords quivervarietiesconjecturedualitygromov-wittenseibergtypeasserts
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abstract

Seiberg duality conjecture asserts that the Gromov-Witten theories (Gauged Linear Sigma Models) of two quiver varieties related by quiver mutations are equal via variable change. In this work, we prove this conjecture for $A_n$ type quiver varieties.

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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. Finding the walls for quiver moduli

    math.AG 2025-06 conditional novelty 7.0 of 10

    The walls in the semistable cone of a quiver moduli problem equal the union, over all sub-dimension vectors e, of the intersections sst(e) ∩ sst(d-e).

  2. Cluster algebras and quantum cohomology rings: A-type

    math.AG 2024-12 conditional novelty 6.0 of 10

    An A_n cluster algebra injects into the equivariant quantum cohomology ring of a partial flag variety, and all-genus Gromov-Witten invariants are mutation-invariant for A-type quiver varieties.

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