.
.
.
.
.
"2010" .
.
"Carlsson" .
"G." .
"Carlsson, G. (Gunnar), 1952-" .
"1952" .
.
"Kerckhoff" .
"Steve" .
"Kerckhoff, Steve," .
.
"Galatius" .
"Søren" .
"Galatius, Søren, 1976-" .
"1976" .
.
"Cohen" .
"Ralph L." .
"Cohen, Ralph L., 1952-" .
"1952" .
.
"Malm" .
"Eric James" .
"Malm, Eric James." .
.
"Stanford University. Department of Mathematics." .
.
"Thesis (Ph. D.)--Stanford University, 2010." .
.
"Unknown value: dct"^^ .
.
.
"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 .
.
.
"2010" .
.
"Unknown value: deg"^^ .
.
.
.
"en" .
.
"665049539"^^ .
.