Strictification and gluing of Lagrangian distributions on derived schemes with shifted symplectic forms

DOI10.1016/j.aim.2023.109477arXiv1908.00651MaRDI QIDQ6189388

Shing Tung Yau, Ludmil Katzarkov, Artan Sheshmani, Dennis V. Borisov

Publication date: 8 February 2024

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

Full work available at URL: https://arxiv.org/abs/1908.00651

zbMATH Keywords

Calabi-Yau manifoldsshifted symplectic structuresmoduli spaces of sheavesLagrangian distributions\(S p i n(7)\)-instantonshomotopy complex structures

Mathematics Subject Classification ID

(4)-folds (14J35) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Bordism and cobordism theories and formal group laws in algebraic topology (55N22) Symplectic structures of moduli spaces (53D30) Generalizations (algebraic spaces, stacks) (14A20)

Cites Work

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• Shifted symplectic structures
• Derived algebraic geometry
• Riemannian geometry over different normed division algebras.
• Algebraic foliations and derived geometry: the Riemann-Hilbert correspondence
• Shifted symplectic structures on derived quot-stacks. I: Differential graded manifolds
• Virtual fundamental classes for moduli spaces of sheaves on Calabi-Yau four-folds
• Topological characterization of various types of \(\mathcal{C}^{\infty}\)-rings
• Derived quot schemes
• On Theories of Superalgebras of Differentiable Functions
• Algèbres simplicialesS¹-équivariantes, théorie de de Rham et théorèmes HKR multiplicatifs
• Lie algebroids and homological vector fields
• A Darboux theorem for derived schemes with shifted symplectic structure
• On the existence of hermitian-yang-mills connections in stable vector bundles
• Loop spaces, characteristic classes and geometric quantization