JP Journal of Geometry and Topology
Volume 13, Issue 1, Pages 1 - 39
(February 2013)
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STEENROD OPERATION, HOCHSCHILD COHOMOLOGY AND NEGATIVE CYCLIC COHOMOLOGY
Calvin Tcheka
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Abstract: Let X be 1-connected CW complex of finite type. We construct algebraic Steenrod operations on the Hochschild cohomology of the cobar construction on the singular chains on X with coefficients in its dual. We prove that these operations can be identified to those defined on the cohomology of the free loop space. We prove the same result with negative cyclic cohomology and the space of geometric free loops. |
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