The Hochschild cohomology ring of the singular cochain algebra of a space

• Kuribayashi, Katsuhiko

Abstract

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

• ANNALES DE L INSTITUT FOURIER

  ANNALES DE L INSTITUT FOURIER 61 (5), 1779-1805, 2011-01

  ANNALES INST FOURIER

Keywords

• Hochschild cohomology
• singular cochain algebra
• Batalin-Vilkovisky algebra
• Koszul-Tate resolution

Details

• CRID: 1050845763852082944
• NII Article ID: 120007114325
• NII Book ID: AA00527912
• ISSN: 03730956
• HANDLE: 10091/17195
• Web Site: https://soar-ir.repo.nii.ac.jp/records/11753
• Text Lang: en
• Article Type: journal article
• Data Source:
  • IRDB
  • CiNii Articles