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

Katsuhiko Kuribayashi

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arXiv · 1006.0884

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

Katsuhiko Kuribayashi

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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.

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Katsuhiko Kuribayashi. 2011-02-12. The Hochschild cohomology ring of the singular cochain algebra of a space. https://arxiv.org/abs/1006.0884

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