Cohomology of some graded differential algebras

Wojciech Andrzejewski; Aleksiej Tralle

Fundamenta Mathematicae (1994)

  • Volume: 145, Issue: 2, page 181-204
  • ISSN: 0016-2736

Abstract

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We study cohomology algebras of graded differential algebras which are models for Hochschild homology of some classes of topological spaces (e.g. homogeneous spaces of compact Lie groups). Explicit formulae are obtained. Some applications to cyclic homology are given.

How to cite

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Andrzejewski, Wojciech, and Tralle, Aleksiej. "Cohomology of some graded differential algebras." Fundamenta Mathematicae 145.2 (1994): 181-204. <http://eudml.org/doc/212042>.

@article{Andrzejewski1994,
abstract = {We study cohomology algebras of graded differential algebras which are models for Hochschild homology of some classes of topological spaces (e.g. homogeneous spaces of compact Lie groups). Explicit formulae are obtained. Some applications to cyclic homology are given.},
author = {Andrzejewski, Wojciech, Tralle, Aleksiej},
journal = {Fundamenta Mathematicae},
keywords = {Hochschild homology; cyclic homology; Poincaré polynomials; minimal model},
language = {eng},
number = {2},
pages = {181-204},
title = {Cohomology of some graded differential algebras},
url = {http://eudml.org/doc/212042},
volume = {145},
year = {1994},
}

TY - JOUR
AU - Andrzejewski, Wojciech
AU - Tralle, Aleksiej
TI - Cohomology of some graded differential algebras
JO - Fundamenta Mathematicae
PY - 1994
VL - 145
IS - 2
SP - 181
EP - 204
AB - We study cohomology algebras of graded differential algebras which are models for Hochschild homology of some classes of topological spaces (e.g. homogeneous spaces of compact Lie groups). Explicit formulae are obtained. Some applications to cyclic homology are given.
LA - eng
KW - Hochschild homology; cyclic homology; Poincaré polynomials; minimal model
UR - http://eudml.org/doc/212042
ER -

References

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  16. [16] A. Tralle, Cyclic homology of some topological spaces which are formal in the sense of Sullivan, Mat. Zametki 50 (6) (1991), 131-141 (in Russian). Zbl0735.55009
  17. [17] A. Tralle, On Hochschild and cyclic homology of certain homogeneous spaces, Czechoslovak Math. J. 43 (1993), 615-634. Zbl0802.55010
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