Characteristic zero loop space homology of two-cones

Popescu, C
(2000) Bulletin of the London mathematical society — Vol. 32, p. 600-608 (2000)

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  • Popescu, C
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Abstract
Given a principal ideal domain R of characteristic zero, containing 1/2, and a two-cone X of appropriate connectedness and dimension, we present sufficient algebraic conditions for the Hopf algebra FH(Omega X;R) to be isomorphic with the universal enveloping algebra of an R-free graded Lie algebra; here, F stands for free part (that is, quotient by the R-torsion), H for homology, and Omega for the Moore loop space functor.
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Popescu, C. (2000). Characteristic zero loop space homology of two-cones. Bulletin of the London mathematical society, 32, 600-608. https://doi.org/10.1112/S002460930000713X (Original work published 2000)