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math.AT2009★ 12 cited
Derived Algebraic Geometry VI: E_k Algebras
Jacob Lurie
In this paper, we study algebras over the little cubes operads introduced by Boardman and Vogt, using the formalism of higher category theory.
math.AT2009★ 17 cited
Topological Quantum Field Theories from Compact Lie Groups
Daniel S. Freed, Michael J. Hopkins, Jacob Lurie +1
It is a long-standing question to extend the definition of 3-dimensional Chern-Simons theory to one which associates values to 1-manifolds with boundary and to 0-manifolds. We prov…
math.AT2007★ 14 cited
Derived Algebraic Geometry IV: Deformation Theory
Jacob Lurie
In this paper, we prove some foundational results on the deformation theory of E-infinity ring spectra.