Perverse filtrations, Chern filtrations, and refined BPS invariants for local \(\mathbb{P}^2\)

DOI10.1016/j.aim.2023.109294arXiv2211.06991OpenAlexW4386616926MaRDI QIDQ6058879

Yakov Kononov, Junliang Shen, Weite Pi

Publication date: 1 November 2023

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

Full work available at URL: https://arxiv.org/abs/2211.06991

zbMATH Keywords

moduli of sheavesBPS invariantsperverse filtrations

Mathematics Subject Classification ID

Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Fine and coarse moduli spaces (14D22) Sheaves in algebraic geometry (14F06)

Related Items

Cohomological -dependence of ring structure for the moduli of one-dimensional sheaves on

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Topology of Hitchin systems and Hodge theory of character varieties: the case \(A_1\)
• On the geometry of the moduli spaces of semi-stable sheaves supported on plane quartics
• Mixed Hodge polynomials of character varieties. With an appendix by Nicholas M. Katz.
• The 3-fold vertex via stable pairs
• Curve counting via stable pairs in the derived category
• Gopakumar-Vafa invariants via vanishing cycles
• Refined topological strings on local \(\mathbb P^2 \)
• Takagi lectures on Donaldson-Thomas theory
• Topology of Lagrangian fibrations and Hodge theory of hyper-Kähler manifolds
• The refined BPS index from stable pair invariants
• The geometry of the moduli space of one-dimensional sheaves
• The 2-leg vertex in \(K\)-theoretic DT theory
• Relative Lefschetz Action and BPS State Counting
• Generators of the cohomology ring of moduli spaces of sheaves on symplectic surfaces
• On the Motivic Stable Pairs Invariants of K3 Surfaces
• BPS states and the P=W conjecture
• 13/2 ways of counting curves
• The Hodge theory of algebraic maps
• Stable pairs and BPS invariants
• Chow Ring of the Moduli Space of Stable Sheaves Supported on Quartic Curves
• The Weights of the Tautological Classes of Character Varieties
• Holomorphic anomaly equation for and the Nekrasov-Shatashvili limit of local
• P = W for Lagrangian fibrations and degenerations of hyper-Kähler manifolds
• Scattering diagrams, stability conditions, and coherent sheaves on ℙ²
• Membranes and sheaves
• Hitchin fibrations, abelian surfaces, and the P=W conjecture
• M-theory, topological strings and spinning black holes
• Geometric representations of graded and rational Cherednik algebras
• Cohomological \(\chi\)-independence for moduli of one-dimensional sheaves and moduli of Higgs bundles
• Gopakumar-Vafa invariants and wall-crossing
• Generators for the cohomology ring of the moduli of 1-dimensional sheaves on $\mathbb{P}^2$