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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)
収録刊行物
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- ANNALES DE L INSTITUT FOURIER
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ANNALES DE L INSTITUT FOURIER 61 (5), 1779-1805, 2011-01
ANNALES INST FOURIER
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詳細情報 詳細情報について
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- CRID
- 1050845763852082944
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- NII論文ID
- 120007114325
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- NII書誌ID
- AA00527912
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- ISSN
- 03730956
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- HANDLE
- 10091/17195
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- 本文言語コード
- en
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- 資料種別
- journal article
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- データソース種別
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- IRDB
- CiNii Articles