2024-03-29T06:25:12Z
https://soar-ir.repo.nii.ac.jp/oai
oai:soar-ir.repo.nii.ac.jp:00011753
2022-12-14T04:00:20Z
1169:1170
The Hochschild cohomology ring of the singular cochain algebra of a space
Kuribayashi, Katsuhiko
Hochschild cohomology
singular cochain algebra
Batalin-Vilkovisky algebra
Koszul-Tate resolution
We determine the algebra structure of the Hochschild cohomology of the singular cochain algebra with coefficients in a field on a space whose cohomology is a polynomial algebra. A spectral sequence calculation of the Hochschild cohomology is also described. In particular, when the underlying field is of characteristic two, we determine the associated bigraded Batalin-Vilkovisky algebra structure on the Hochschild cohomology of the singular cochain on a space whose cohomology is an exterior algebra.
Article
ANNALES DE L INSTITUT FOURIER. 61(5):1779-1805 (2011)
journal article
ANNALES INST FOURIER
2011-01
application/pdf
ANNALES DE L INSTITUT FOURIER
5
61
1779
1805
0373-0956
AA00527912
https://soar-ir.repo.nii.ac.jp/record/11753/files/hh_of_DGA-new.pdf
eng
10.5802/aif.2658
https://doi.org/10.5802/aif.2658