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Seiberg Duality Conjecture for Star-Shaped Quivers and Finiteness of Gromov–Witten Theory for D-Type Quivers.

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Τίτλος: Seiberg Duality Conjecture for Star-Shaped Quivers and Finiteness of Gromov–Witten Theory for D-Type Quivers.
Συγγραφείς: He, Weiqiang1 (AUTHOR), Zhang, Yingchun2 (AUTHOR)
Πηγή: IMRN: International Mathematics Research Notices. Jul2025, Vol. 2025 Issue 13, p1-50. 50p.
Θεματικοί όροι: *Gromov-Witten invariants, *Mutations (Algebra), *Quantum field theory, *Mathematical physics, *Kählerian manifolds
Περίληψη: This work proves that the Seiberg Duality Conjecture holds for star-shaped quivers: the Gromov–Witten theories of mutation-related varieties are equivalent. In particular, it is known that there are only finitely many quivers that are mutation equivalent to a |$D$| -type quiver. We prove that the Seiberg Duality Conjecture holds for all quivers that are mutation equivalent to a |$D_{3}$| -type quiver, and find the change of Kähler variables. [ABSTRACT FROM AUTHOR]
Βάση Δεδομένων: Academic Search Index
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  Data: Seiberg Duality Conjecture for Star-Shaped Quivers and Finiteness of Gromov–Witten Theory for D-Type Quivers.
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  Data: <searchLink fieldCode="AR" term="%22He%2C+Weiqiang%22">He, Weiqiang</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Zhang%2C+Yingchun%22">Zhang, Yingchun</searchLink><relatesTo>2</relatesTo> (AUTHOR)
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  Data: <searchLink fieldCode="JN" term="%22IMRN%3A+International+Mathematics+Research+Notices%22">IMRN: International Mathematics Research Notices</searchLink>. Jul2025, Vol. 2025 Issue 13, p1-50. 50p.
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  Data: *<searchLink fieldCode="DE" term="%22Gromov-Witten+invariants%22">Gromov-Witten invariants</searchLink><br />*<searchLink fieldCode="DE" term="%22Mutations+%28Algebra%29%22">Mutations (Algebra)</searchLink><br />*<searchLink fieldCode="DE" term="%22Quantum+field+theory%22">Quantum field theory</searchLink><br />*<searchLink fieldCode="DE" term="%22Mathematical+physics%22">Mathematical physics</searchLink><br />*<searchLink fieldCode="DE" term="%22Kählerian+manifolds%22">Kählerian manifolds</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: This work proves that the Seiberg Duality Conjecture holds for star-shaped quivers: the Gromov–Witten theories of mutation-related varieties are equivalent. In particular, it is known that there are only finitely many quivers that are mutation equivalent to a |$D$| -type quiver. We prove that the Seiberg Duality Conjecture holds for all quivers that are mutation equivalent to a |$D_{3}$| -type quiver, and find the change of Kähler variables. [ABSTRACT FROM AUTHOR]
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RecordInfo BibRecord:
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    Identifiers:
      – Type: doi
        Value: 10.1093/imrn/rnaf182
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 50
        StartPage: 1
    Subjects:
      – SubjectFull: Gromov-Witten invariants
        Type: general
      – SubjectFull: Mutations (Algebra)
        Type: general
      – SubjectFull: Quantum field theory
        Type: general
      – SubjectFull: Mathematical physics
        Type: general
      – SubjectFull: Kählerian manifolds
        Type: general
    Titles:
      – TitleFull: Seiberg Duality Conjecture for Star-Shaped Quivers and Finiteness of Gromov–Witten Theory for D-Type Quivers.
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          Name:
            NameFull: He, Weiqiang
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            NameFull: Zhang, Yingchun
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            – D: 01
              M: 07
              Text: Jul2025
              Type: published
              Y: 2025
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              Value: 2025
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              Value: 13
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            – TitleFull: IMRN: International Mathematics Research Notices
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