2016/08/29 by Massimiliano Ungheretti, Ungheretti, Massimiliano
Mathematics · #16E40 #19D55 (secondary) #55P35 (primary) #55P50 #Advanced Topics in Algebra #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA)
paper · pdf · doi:10.48550/arxiv.1608.08140
openalex publication_date 2016/08/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.