Cohomology of g-DG-algebras

1975 ◽  
pp. 93-132
Author(s):  
Franz W. Kamber ◽  
Philippe Tondeur
Keyword(s):  
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.

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.

Twisted tensor products of DG algebras

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

scholarly journals Hirzebruch-Riemann-Roch-type formula for DG algebras

2012 ◽  
Vol 106 (1) ◽  
pp. 1-32 ◽  
Author(s):  
D. Shklyarov
Keyword(s):  
Type Formula ◽  
Dg Algebras

scholarly journals Perfect Derived Categories of Positively Graded DG Algebras

2010 ◽  
Vol 19 (5) ◽  
pp. 757-782 ◽  
Author(s):  
Olaf M. Schnürer
Keyword(s):  
Derived Categories ◽  
Dg Algebras

scholarly journals Semidualizing DG modules over tensor products

2016 ◽  
Vol 15 (05) ◽  
pp. 1650097 ◽  
Author(s):  
Hannah Altmann
Keyword(s):  
Lower Bound ◽  
Tensor Product ◽  
Tensor Products ◽  
Dg Algebras

We study the existence of nontrivial semidualizing DG modules over tensor products of DG algebras over a field. In particular, this gives a lower bound on the number of semidualizing DG modules over the tensor product.

scholarly journals DG algebras with exterior homology

2013 ◽  
Vol 45 (6) ◽  
pp. 1235-1245 ◽  
Author(s):  
W. G. Dwyer ◽  
J. P. C. Greenlees ◽  
S. B. Iyengar
Keyword(s):  
Dg Algebras

Differential Graded Quivers of Smooth Rational Surfaces

2016 ◽  
Vol 60 (4) ◽  
pp. 859-876
Author(s):  
Agnieszka Bodzenta
Keyword(s):  
Minimal Model ◽  
Rational Surface ◽  
Line Bundles ◽  
Toric Surfaces ◽  
Rational Surfaces ◽  
Exceptional Collection ◽  
Dg Algebras

AbstractLetXbe a smooth rational surface. We calculate a differential graded (DG) quiver of a full exceptional collection of line bundles onXobtained by an augmentation from a strong exceptional collection on the minimal model ofX. In particular, we calculate canonical DG algebras of smooth toric surfaces.

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