.
.
.
"2016-07-15" .
.
.
"2010" .
.
"Kerckhoff" .
"Steve" .
"Steve Kerckhoff" .
.
"Galatius" .
"Søren" .
"Søren Galatius" .
"1976" .
.
"Cohen" .
"Ralph L." .
"Ralph L. Cohen" .
"1952" .
.
"Malm" .
"Eric James" .
"Eric James Malm" .
.
"Stanford University. Department of Mathematics." .
.
.
.
"665049539" .
.
"We relate the Batalin-Vilkovisky (BV) algebra structure of the string topology of a manifold to the homological algebra of the singular chains of the based loop space of that manifold, showing that its Hochschild cohomology carries a BV algebra structure isomorphic to that of string topology. Furthermore, this structure is compatible with the usual cup product and Lie bracket on Hochschild cohomology. This isomorphism arises from a derived form of Poincare duality using modules over the based loop space as local coefficient systems. This derived Poincare duality also comes from a form of fibrewise Atiyah duality on the level of fibrewise spectra, and we use this perspective to connect the algebraic constructions to the Chas-Sullivan loop product."@en .
.
.
"String topology and the based loop space"@en .
.
.
"665049539" .
"2010" .
"" .
.
.
.
.
"en" .
.
.
.
.
"Carlsson" .
"G." .
"Gunnar" .
"Gunnar Carlsson" .
"1952" .