Formality conjecture for minimal surfaces of Kodaira dimension 0

DOI10.1112/S0010437X20007605zbMath1455.14075arXiv1907.10690WikidataQ122887117 ScholiaQ122887117MaRDI QIDQ4964762

Francesco Meazzini, Ruggero Bandiera, Marco Manetti

Publication date: 3 March 2021

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.10690

zbMATH Keywords

deformation theoryformality\(L_\infty\) algebrasdifferential graded Lie algebraspolystable sheaves

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Rational homotopy theory (55P62) (K3) surfaces and Enriques surfaces (14J28) Homological methods in Lie (super)algebras (17B55) Algebraic moduli problems, moduli of vector bundles (14D20) Formal methods and deformations in algebraic geometry (14D15) Derived categories of sheaves, dg categories, and related constructions in algebraic geometry (14F08)

Related Items (3)

Deformations of polystable sheaves on surfaces: quadraticity implies formality ⋮ Connections and \(L_\infty\) liftings of semiregularity maps ⋮ Hyper-holomorphic connections on vector bundles on hyper-Kähler manifolds

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Symplectic structure of the moduli space of sheaves on an abelian or K 3 surface
• Formal and coformal spaces
• Obstructions to homotopy equivalences
• Introduction to sh Lie algebras for physicists
• Algebraic models of local period maps and Yukawa algebras
• Fourier-Mukai duality for \(K3\) surfaces via Bridgeland stability condition
• Singularities of moduli spaces of sheaves on $K3$ surfaces and Nakajima quiver varieties
• Deformation quantization of Poisson manifolds
• Formality of DG algebras (after Kaledin)
• On some formality criteria for DG-Lie algebras
• Lie theory for nilpotent \(L_{\infty}\)-algebras
• Singular symplectic moduli spaces
• Curved infinity-algebras and their characteristic classes
• Stability and the Fourier–Mukai transform II
• Equivariant G-Structure on Versal Deformations
• Desingularized moduli spaces of sheaves on a K3
• A new six-dimensional irreducible symplectic variety
• Strongly homotopy lie algebras
• On Deformations of Pairs (Manifold, Coherent Sheaf)
• Formality conjecture for K3 surfaces
• A Note on Formality and Singularities of Moduli Spaces
• Moduli spaces of stable sheaves on abelian surfaces.

This page was built for publication: Formality conjecture for minimal surfaces of Kodaira dimension 0