A new commutative product is introduced on homology of special cubical sets, lifted to free loop homology agreeing with string topology products for manifolds, with a new loop bialgebra notion defined via coHochschild complexes and examples computed.
Saneblidze, The bitwited Cartesian model for the free loop fibration, Topology and Its Applications, 156 (2009), 897–910
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On the bialgebra structure of the free loop homology
A new commutative product is introduced on homology of special cubical sets, lifted to free loop homology agreeing with string topology products for manifolds, with a new loop bialgebra notion defined via coHochschild complexes and examples computed.