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Free loop spaces and dihedral homology
Published 29 Aug 2016 in math.AT and math.QA | (1608.08140v1)
Abstract: We prove an $O(2)$-equivariant version of the Jones isomorphism relating the Borel $O(2)$-equivariant cohomology of the free loop space to the dihedral homology of the cochain algebra. We discuss polynomial forms and a variation of the de Rham isomorphism and use these to do a computation for the 2-sphere.
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