English

Free loop spaces and dihedral homology

Algebraic Topology 2016-08-30 v1 Quantum Algebra

Abstract

We prove an O(2)O(2)-equivariant version of the Jones isomorphism relating the Borel O(2)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.

Keywords

Cite

@article{arxiv.1608.08140,
  title  = {Free loop spaces and dihedral homology},
  author = {Massimiliano Ungheretti},
  journal= {arXiv preprint arXiv:1608.08140},
  year   = {2016}
}

Comments

27 pages

R2 v1 2026-06-22T15:34:02.298Z