Introduction to A-infinity algebras and modules

Introduction to A-infinity algebras and modules

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by Bernhard Keller

Venue:	Homology, Homotopy and Applications
Citations:	64 - 6 self

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@ARTICLE{Keller_introductionto,
    author = {Bernhard Keller},
    title = {Introduction to A-infinity algebras and modules},
    journal = {Homology, Homotopy and Applications},
    year = {},
    pages = {9910179}
}

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Abstract

Dedicated to H. Keller on the occasion of his seventy fifth birthday Abstract. These are expanded notes of four introductory talks on A∞-algebras,

Citations

404	Homological algebra - Cartan, Eilenberg - 1956
311	Homological Algebra of Mirror Symmetry - Kontsevich - 1994
288	On the homotopy associativity of H-spaces - Stasheff
255	Representation theory of Artin algebras - Auslander - 1974
233	The geometry of iterated loop spaces - May - 1972
164	Tame algebras and integral quadratic forms - Ringel - 1984
149	Homological mirror symmetry and torus fibrations - Kontsevich, Soibelman
143	Real homotopy theory of Kähler manifolds - Deligne, Griffiths, et al. - 1975
123	Morita theory for derived categories - Rickard - 1989
122	Braid group actions on derived categories of coherent sheaves - Seidel, Thomas
109	Resolutions of unbounded complexes - Spaltenstein - 1988
100	Soibelman Deformations of algebras over operads and Deligne’s conjecture math.QA/0001151 - Kontsevich, Y
94	Representations of finite-dimensional algebras - Gabriel, Roiter - 1997
74	Categorical mirror symmetry: The Elliptic curve - Polishchuk, Zaslow - 1998
70	Infinite Loop Spaces - Adams - 1978
70	A∞-algebras and the cyclic bar complex - GETZLER, JONES - 1989
69	homotopy, A∞ categories and Floer homologies - Fukaya, “Morse - 1993
63	Stasheff: Perturbation theory in differential homological algebra - Gugenheim, Lambe, et al. - 1991
60	Deriving DG categories - Keller - 1994
56	Homotopy limits in triangulated categories - Bökstedt, Neeman - 1993
55	Strong homotopy algebras of a Kähler manifold,” [arXiv:math.AG/9809172 - Merkulov
35	H-spaces from a homotopy point of view - Stasheff - 1970
32	The Algebraic Structure in the Homology of an A∞-Algebra - Kadeishvili - 1982
31	The structure of the A(∞)-algebra, and the Hochschild and Harrison cohomologies. Trudy Tbiliss - Kadeishvili - 1988
21	Differential graded Lie algebras, Quasi-Hopf algebras and higher homotopy algebras, preprint UNC-MATH-91-3 53 - Stasheff - 1993
18	A∞ algebras and the cohomology of moduli spaces - Penkava, Schwarz
16	Triangulated categories and geometry, Course at the École Normale Supérieure - Kontsevich - 1998
13	Transferring algebra structures up to homology equivalence - Johansson, Lambe
13	Algèbres différentielles fortement homotopiquement associatives - Prouté - 1984
12	The category of differential coalgebras and the category of A(∞)-algebras - Kadeishvili - 1985
8	Rings with several objects, Adv - Mitchell - 1998
5	On the theory of homology of fiber spaces - Kadeishvili - 1980
4	Framed triangulated categories (Russian - Bondal, Kapranov - 1990
4	The functor D for a category of A(∞)-algebras - Kadeishvili - 1987
4	Bimodule complexes via strong homotopy actions - Keller - 1999
3	On derived categories of representations categories - Ovsienko - 1985
3	Bimodule and matrix problems - Ovsienko - 1998
2	Methods of homological algebra, Transl. from the Russian - Manin - 1996
2	Twisted tensor products for the category of A(∞)-algebras and A(∞)modules - Kadeishvili - 1986
2	Deformation Quantization of Poisson Manifolds, I . Available at q-alg/9709040 - Kontsevich
2	On A∞-categories - Lefèvre
2	Homology of fiber spaces (Russian), Uspekhi Mat. Nauk 35 - Smirnov - 1980
1	Higher homotopy structures in topology and mathematical - McCleary - 1999
1	Co)homology of monomial algebras - Sköldberg - 1997