DG-algebras and Massey products

2005 ◽  
pp. 153-154
Author(s):  
Alexander Polishchuk ◽  
Leonid Positselski
Keyword(s):  
Massey Products ◽  
Dg Algebras

scholarly journals Blackbox computation of A ∞-algebras

2010 ◽  
Vol 17 (2) ◽  
pp. 391-404
Author(s):  
Mikael Vejdemo-Johansson
Keyword(s):  
Homology Theory ◽  
Algebra Structure ◽  
Finite Amount ◽  
Computational Work ◽  
Dg Algebra ◽  
Dg Algebras

Abstract Kadeishvili's proof of theminimality theorem [T. Kadeishvili, On the homology theory of fiber spaces, Russ. Math. Surv. 35:3 (1980), 231–238] induces an algorithm for the inductive computation of an A ∞-algebra structure on the homology of a dg-algebra. In this paper, we prove that for one class of dg-algebras, the resulting computation will generate a complete A ∞-algebra structure after a finite amount of computational work.

Massey products andH(p, q)-systems

1973 ◽  
Vol 132 (1) ◽  
pp. 1-10
Author(s):  
Donald M. Davis ◽  
Victor P. Snaith
Keyword(s):  
Massey Products

scholarly journals Algorithms in A ∞-algebras

2018 ◽  
Vol 25 (4) ◽  
pp. 629-635
Author(s):  
Mikael Vejdemo-Johansson
Keyword(s):  
Persistent Homology ◽  
Group Cohomology ◽  
Dg Algebras ◽  
Work Done ◽  
Original Theorem

AbstractBased on Kadeishvili’s original theorem inducing{A_{\infty}}-algebra structures on the homology of dg-algebras, several directions of algorithmic research in{A_{\infty}}-algebras have been pursued. In this paper, we survey the work done on calculating explicit{A_{\infty}}-algebra structures from homotopy retractions, in group cohomology and in persistent homology.

scholarly journals Compact symplectic manifolds with free circle actions, and Massey products.

1991 ◽  
Vol 38 (2) ◽  
pp. 271-283 ◽  
Author(s):  
Marisa Fernández ◽  
Alfred Gray ◽  
John W. Morgan
Keyword(s):  
Symplectic Manifolds ◽  
Circle Actions ◽  
Massey Products

Twisted tensor products of DG algebras

2021 ◽  
Vol 76 (6) ◽  
Author(s):  
Dmitri Olegovich Orlov
Keyword(s):  
Tensor Products ◽  
Dg Algebras

Two Applications of Homology Decompositions

1975 ◽  
Vol 27 (2) ◽  
pp. 323-329 ◽  
Author(s):  
Graham Hilton Toomer
Keyword(s):  
Doctoral Dissertation ◽  
Massey Products ◽  
Cornell University ◽  
Future Paper

We show that a map of rational spaces (see Definition 1) induces a map of homology sections at each stage, and that the k'-invariants are mapped naturally. This is used to characterize rational spaces in which all (matric) Massey products vanish as wedges of rational spheres, and yields the precise Eckmann-Hilton dual of a result of M. Dyer [7]. Berstein's result on co-H spaces [3] is also deduced. These results form a part of the author's doctoral dissertation at Cornell University written under Professor I. Berstein, to whom I express my sincere thanks for his patient help and encouragement. Extensions and counterexamples will appear in a future paper.

Single-Valued Massey Products

2014 ◽  
Vol 42 (11) ◽  
pp. 4609-4618 ◽  
Author(s):  
Ido Efrat
Keyword(s):  
Massey Products
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