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• W3196061497 abstract "We study the curve counting invariants of Calabi-Yau threefolds via the Weyl reflection along a ruled divisor. We obtain a new rationality result and functional equation for the generating functions of Pandharipande-Thomas invariants. When the divisor arises as resolution of a curve of $A_1$-singularities, our results match the rationality of the associated Calabi-Yau orbifold. The symmetry on generating functions descends from the action of an infinite dihedral group of derived auto-equivalences, which is generated by the derived dual and a composition of spherical twists. Our techniques involve wall-crossing formulas and generalized DT invariants for surface-like objects." @default.
• W3196061497 created "2021-08-30" @default.
• W3196061497 creator A5008483090 @default.
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• W3196061497 date "2021-08-15" @default.
• W3196061497 modified "2023-09-27" @default.
• W3196061497 title "Weyl symmetry for curve counting invariants via spherical twists" @default.
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• W3196061497 hasPublicationYear "2021" @default.
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