Relative Calabi–Yau structures
From MaRDI portal
Publication:5212324
DOI10.1112/S0010437X19007024zbMath1436.18009arXiv1606.00619OpenAlexW2418216742WikidataQ128417196 ScholiaQ128417196MaRDI QIDQ5212324
Christopher Brav, Tobias Dyckerhoff
Publication date: 28 January 2020
Published in: Compositio Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1606.00619
Chain complexes (category-theoretic aspects), dg categories (18G35) Symplectic geometry, contact geometry (53Dxx) Categorical algebra (18E99) (A_{infty})-categories, relations with homological mirror symmetry (18G70)
Related Items
On the Rouquier dimension of wrapped Fukaya categories and a conjecture of Orlov ⋮ Dimensional reduction in cohomological Donaldson–Thomas theory ⋮ The colimit of an $\infty$-local system as a twisted tensor product ⋮ Relative cluster categories and Higgs categories ⋮ Calabi–Yau structures on (quasi-)bisymplectic algebras ⋮ Smooth compactifications in derived non-commutative geometry ⋮ Cyclic homology, \(S^1\)-equivariant Floer cohomology and Calabi-Yau structures ⋮ Calabi-Yau structures for multiplicative preprojective algebras ⋮ Gopakumar-Vafa invariants and wall-crossing ⋮ Categorification of ice quiver mutation ⋮ Pre-Calabi-Yau algebras as noncommutative Poisson structures ⋮ Calabi-Yau structures, spherical functors, and shifted symplectic structures ⋮ Relative Calabi-Yau structures. II: Shifted Lagrangians in the moduli of objects ⋮ An \(\mathsf{A}_\infty\) version of the Poincaré lemma ⋮ Kasteleyn operators from mirror symmetry ⋮ Ginzburg algebras of triangulated surfaces and perverse schobers
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Shifted symplectic structures
- Derived algebraic geometry
- Fukaya \(A_\infty\)-structures associated to Lefschetz fibrations. I
- The homotopy theory of dg-categories and derived Morita theory
- Fukaya categories and Picard-Lefschetz theory
- Cyclic homology and equivariant homology
- Triangulated surfaces in triangulated categories
- Cyclic homology, comodules, and mixed complexes
- Relative Calabi-Yau structures. II: Shifted Lagrangians in the moduli of objects
- Pre-Calabi-Yau algebras as noncommutative Poisson structures
- Non-commutative André-Quillen cohomology for differential graded categories
- Spherical DG-functors
- Deformed Calabi–Yau completions
- Lagrangian structures on mapping stacks and semi-classical TFTs
- Crossed simplicial groups and structured surfaces
- On the Classification of Topological Field Theories
- -homotopy invariants of topological Fukaya categories of surfaces
- Moduli of objects in dg-categories
- Higher Topos Theory (AM-170)