\(A\)-infinity structure on Ext-algebras.
From MaRDI portal
Publication:1030695
DOI10.1016/j.jpaa.2009.02.006zbMath1231.16008arXivmath/0606144OpenAlexW2086734041MaRDI QIDQ1030695
Di-Ming Lu, John H. Palmieri, James J. Zhang, Quan Shui Wu
Publication date: 2 July 2009
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0606144
Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Differential graded algebras and applications (associative algebraic aspects) (16E45) Ext and Tor, generalizations, Künneth formula (category-theoretic aspects) (18G15) Graded rings and modules (associative rings and algebras) (16W50)
Related Items (50)
Equivariant derived categories for toroidal group imbeddings ⋮ Applications of one-point extensions to compute the \(A_\infty\)-(co)module structure of several ext (resp., Tor) groups ⋮ Koszul calculus for \(N\)-homogeneous algebras ⋮ \(A_\infty\)-resolutions and the Golod property for monomial rings ⋮ REGULARITY CRITERION AND CLASSIFICATION FOR ALGEBRAS OF JORDAN TYPE ⋮ Algorithmic deformation of matrix factorisations ⋮ Koszulity of cohomology \( = K(\pi,1)\)-Ness + quasi-formality ⋮ Remarks on quiver gauge theories from open topological string theory ⋮ Spectral sequences associated to deformations ⋮ Regular algebras of dimension 4 and their \(A_\infty\)-Ext-algebras. ⋮ Optimising the topological information of the \(A_\infty \)-persistence groups ⋮ A class of AS-regular algebras of dimension five. ⋮ The dg Leavitt algebra, singular Yoneda category and singularity category ⋮ The singularity and cosingularity categories of \(C^{\ast}BG\) for groups with cyclic Sylow \(p\)-subgroups ⋮ Superfiltered A∞$A_\infty$‐deformations of the exterior algebra, and local mirror symmetry ⋮ Yoneda Ext-algebras of Takeuchi smash products ⋮ A generalization of the correspondences between quasi-hereditary algebras and directed bocses ⋮ Massey products for algebras over operads ⋮ Yoneda algebras of the triplet vertex operator algebra ⋮ The structure of AS-Gorenstein algebras. ⋮ The Golod property for Stanley-Reisner rings in varying characteristic ⋮ Double bubble plumbings and two-curve flops ⋮ \(A_\infty\)-algebra structures associated to \(\mathcal K_2\) algebras. ⋮ On the Ext algebras of parabolic Verma modules and \(A_{\infty}\)-structures ⋮ Skew group algebras of Calabi-Yau algebras. ⋮ HIGHER KOSZUL DUALITY FOR ASSOCIATIVE ALGEBRAS ⋮ Vector bundles on degenerations of elliptic curves and Yang–Baxter equations ⋮ The closed-open string map for \(S^1\)-invariant Lagrangians ⋮ Higher order Whitehead products and \(L_{\infty}\) structures on the homology of a DGL ⋮ Ext-algebras of graded skew extensions ⋮ The \(A_\infty\) deformation theory of a point and the derived categories of local Calabi-Yaus ⋮ Algorithms in \(A_\infty\)-algebras ⋮ Graph homology and graph configuration spaces ⋮ Vector bundles on plane cubic curves and the classical Yang-Baxter equation ⋮ \(A_{\infty}\)-coderivations and the Gerstenhaber bracket on Hochschild cohomology ⋮ A higher homotopic extension of persistent (co)homology ⋮ Koszul duality for Iwasawa algebras modulo 𝑝 ⋮ The Nori-Hilbert scheme is not smooth for 2-Calabi-Yau algebras ⋮ \(A_\infty\) structures and Massey products ⋮ Product structures for Legendrian contact homology ⋮ Geometric formalities Along the Chern-Ricci flow ⋮ Massey products, A∞-algebras, differential equations, and Chekanov homology ⋮ Quantitative and qualitative cohomological properties for non-Kähler manifolds ⋮ The Yoneda Algebra of a 𝒦2Algebra Need not be Another 𝒦2Algebra ⋮ A truncated minimal free resolution of the residue field ⋮ Connected Hopf algebras of Gelfand-Kirillov dimension four ⋮ On the Merkulov construction of \(A_\infty\)-(co)algebras ⋮ On Bott-Chern cohomology and formality ⋮ Finite generation for Hochschild cohomology of Gorenstein monomial algebras ⋮ -algebras associated with curves and rational functions on . I
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the non-existence of elements of Hopf invariant one
- Regular algebras of dimension 4 and their \(A_\infty\)-Ext-algebras.
- Koszul equivalences in \(A_\infty\)-algebras.
- On the structure of Hopf algebras
- Matric Massey products
- \(H\)-spaces from a homotopy point of view
- Higher Koszul algebras and \(A\)-infinity algebras.
- ON THE HOMOLOGY THEORY OF FIBRE SPACES
- The Cohomology Algebras of Finite Dimensional Hopf Algebras
- Deriving DG categories
- Transferring algebra structures up to homology equivalence
- Homological Algebra of Mirror Symmetry
- Homotopy Associativity of H-Spaces. I
- Bimodule complexes via strong homotopy actions
- Introduction to \(A\)-infinity algebras and modules
This page was built for publication: \(A\)-infinity structure on Ext-algebras.
