Abstract
Let \({\mathbb{K}}\) be a field of characteristic p > 0 and S 1 the unit circle. We construct a model for the negative cylic homology of a commutative cochain algebra with two stages Sullivan minimal model. Using the notion of shc-formality introduced in Bitjong and Thomas (Topology 41:85–106), the main result of Bitjong and El Haouari (Math Ann 338:347–354) and techniques of Vigué-Poirrier (J Pure Appl Algebra 91:347–354) we compute the S 1-equivariant cohomology algebras of the free loop spaces of the infinite complex projective space \({\mathbb{CP}(\infty)}\) and the odd spheres S 2q+1.
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Bitjong Ndombol, El Haouari, M. The free loop space equivariant cohomology algebra of some formal spaces. Math. Z. 266, 863–875 (2010). https://doi.org/10.1007/s00209-009-0602-z
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DOI: https://doi.org/10.1007/s00209-009-0602-z