From manifolds to invariants of E_n-algebras

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.

arXiv commentauthor's 2010 Ph.D. thesis at the Massachusetts Institute of Technology; comments are welcome

References in corpus (4)

• Homotopy limits and colimits and enriched homotopy theory
• The fundamental category of a stratified space
• Derived Algebraic Geometry VI: E_k Algebras
• Popaths and Holinks

Cited by in corpus (11)

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• Factorization homology and calculus à la Kontsevich Soibelman
• On the formality of the little disks operad in positive characteristic
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• Operads, modules and topological field theories
• The topology of the space of J-holomorphic maps to CP^2
• Derived Koszul Duality and Topological Hochschild Homology
• A model structure for locally constant factorization algebras
• A Kuenneth theorem for configuration spaces
• On D-modules of categories I
• Configuration spaces of products