WorldCat Identities

Malm, Eric James

Works: 1 works in 1 publications in 1 language and 1 library holdings
Roles: Author
Publication Timeline
Most widely held works by Eric James Malm
String topology and the based loop space by Eric James Malm( )

1 edition published in 2010 in English and held by 1 WorldCat member library worldwide

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
Audience Level
Audience Level
  Kids General Special  
Audience level: 0.81 (from 0.81 for String top ... to 0.81 for String top ...)