Refined \(\text{SU}(3)\) Vafa-Witten invariants and modularity
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Publication:2228472
DOI10.4310/PAMQ.2018.v14.n3.a3zbMath1455.14105arXiv1808.03245MaRDI QIDQ2228472
Martijn Kool, Lothar Goettsche
Publication date: 17 February 2021
Published in: Pure and Applied Mathematics Quarterly (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1808.03245
Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Parametrization (Chow and Hilbert schemes) (14C05)
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Rationality of descendent series for Hilbert and Quot schemes of surfaces ⋮ Twisted sheaves and \(\text{SU}(r) / {\mathbb{Z}}_r\) Vafa-Witten theory ⋮ Virtual Segre and Verlinde numbers of projective surfaces ⋮ Monopole contributions to refined Vafa-Witten invariants ⋮ Verlinde formulae on complex surfaces: K-theoretic invariants ⋮ Vafa-Witten invariants from exceptional collections ⋮ Quot schemes of curves and surfaces: virtual classes, integrals, Euler characteristics ⋮ Vafa-Witten theory and iterated integrals of modular forms
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