Topology of Lagrangian fibrations and Hodge theory of hyper-Kähler manifolds

DOI10.1215/00127094-2021-0010zbMath1490.14019arXiv1812.10673OpenAlexW2907083254MaRDI QIDQ2073281

Qizheng Yin, Junliang Shen

Publication date: 1 February 2022

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.10673

zbMATH Keywords

hyper-Kähler manifoldsHodge theoryperverse sheavesLagrangian fibrationscurve counting

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Fibrations, degenerations in algebraic geometry (14D06) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Topological properties in algebraic geometry (14F45) Holomorphic symplectic varieties, hyper-Kähler varieties (14J42)

Related Items

P=W conjectures for character varieties with symplectic resolution, Deformations of compact Prym fibrations to Hitchin systems, Perverse filtrations, Chern filtrations, and refined BPS invariants for local \(\mathbb{P}^2\), Cohomological \(\chi\)-independence for moduli of one-dimensional sheaves and moduli of Higgs bundles, Complex analysis -- differential and algebraic methods in Kähler spaces. Abstracts from the workshop held April 9--14, 2023, P = W for Lagrangian fibrations and degenerations of hyper-Kähler manifolds, On intersection cohomology and Lagrangian fibrations of irreducible symplectic varieties, Lagrangian fibrations

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