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Fukaya-Seidel category and gauge theory

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arxiv 1010.2353 v4 pith:C2PDV6KO submitted 2010-10-12 math.SG hep-thmath.DGmath.GT

Fukaya-Seidel category and gauge theory

classification math.SG hep-thmath.DGmath.GT
keywords categoryconstructioncasefukaya-seidelgaugetheoryapplyingassociated
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Given a J-holomorphic Morse function on a symplectic manifold, a new construction of the Fukaya-Seidel category is outlined. Applying this construction in an infinite dimensional case, a Fukaya-Seidel-type category is associated to a smooth three-manifold. In this case the construction is based on a five-dimensional gauge theory.

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  1. Refined Vafa-Witten invariants for toric surfaces from supersymmetric localization in 5D gauge theory

    hep-th 2026-07 conditional novelty 6.0

    5D N=1* supersymmetric localization on toric surfaces equals refined Vafa–Witten invariants for odd first Chern class; the even-c1 case fails without a hand-added constant.