From manifolds to invariants of E_n-algebras

2012/10/30 by Andrade, Ricardo
#Algebraic Topology (math.AT) #FOS: Mathematics

paper · doi:10.48550/arxiv.1210.7909

Abstract

This thesis represents the first step in an investigation of an interesting class of manifold-theoretic invariants of E_n-algebras which generalize topological Hochschild homology. The main goal of this thesis is to give a definition of the invariants, and analyse their geometric framework. These invariants have appeared in the work of Paolo Salvatore and Jacob Lurie (who calls them topological chiral homology), where they are involved in a sort of non-abelian Poincaré duality.

Related

• Nonabelian Poincare duality after stabilizing
• Manifoldic homology and Chern-Simons formalism
• Notes on factorization algebras, factorization homology and applications
• Poincaré/Koszul duality
• Derived Higher Hochschild Homology, Topological Chiral Homology and\n Factorization algebras