Compositio Mathematica · 2007 · 51 citations · 7 references
Natural SciencesMathematicsTopologyCategory TheoryCohomology TheoryGroup TheoryHomological AlgebraHomotopy TheoryDerived CategoriesHigher CategoriesHochschild CohomologyHomotopy Theoretic Category TheoryTransformations
We introduce a homotopy 2-category structure on the collection of dg-categories, dg-functors, and their derived transformations. This construction provides for a conceptual proof of Deligne's conjecture on Hochschild cochains.
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Vladimir Drinfeld · Journal of Algebra · 2003 · 430 citations
A Cellular Nerve for Higher Categories
Clemens Berger · Advances in Mathematics · 2002 · 113 citations