cup i-product on the non-commutative and differential forms of Steenrod squares

JOURNAL OF ALGEBRA

卷:313

Article

Battikh, Naoufel

关键词: noncommutative differential forms;    Steenrod squares;   

DOI  :  10.1016/j.jalgebra.2007.02.048

来源: Elsevier

【 摘 要 】

In this paper, we define in the framework of noncommutative differential forms the notion of cup i-product introduced by Steenrod in [N.E. Steenrod, Product of cocycles and extensions of mappings, Ann. Math. 48 (2) (1947)]. This cup i-product permits to define an operator b(r,s) who will be a generalisation of the operator b defined in Hochschild and cyclic homology. With the operator b(r,s) we define in an explicitly way the Steenrod and Thomas-Pontrjagin squares. (c) 2007 Elsevier Inc. Tous droits reserves.

【 授权许可】

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