Corpus ID: 119719038

Free loop spaces and dihedral homology

@article{Ungheretti2016FreeLS,
  title={Free loop spaces and dihedral homology},
  author={Massimiliano Ungheretti},
  journal={arXiv: Algebraic Topology},
  year={2016}
}
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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