Donaldson-Thomas invariants of 2-dimensional sheaves inside threefolds and modular forms

DOI10.1016/j.aim.2017.12.015zbMath1386.14193arXiv1309.0050OpenAlexW2963412708MaRDI QIDQ1694300

Amin Gholampour, Artan Sheshmani

Publication date: 1 February 2018

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.0050

zbMATH Keywords

Hilbert schememodularityDonaldson-Thomas invariantsS-duality\(K3\) fibrationNoether-Lefschetz numberstwo dimensional stable sheaves

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Fibrations, degenerations in algebraic geometry (14D06) Derived categories of sheaves, dg categories, and related constructions in algebraic geometry (14F08)

Related Items (10)

S-duality for surfaces with \(A_n\)-type singularities ⋮ Torus localization and wall crossing for cosection localized virtual cycles ⋮ Vertical D4-D2-D0 bound states on \(K3\) fibrations and modularity ⋮ Multiple D3-instantons and mock modular forms. I ⋮ Virtual intersection theories ⋮ Black holes and higher depth mock modular forms ⋮ Nested Hilbert schemes on surfaces: virtual fundamental class ⋮ Modular forms as classification invariants of 4D \(\mathcal{N} = 2\) heterotic-IIA dual vacua ⋮ Hecke operators on vector-valued modular forms ⋮ Scaling black holes and modularity

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