ON KONTSEVICH’S HOCHSCHILD COHOMOLOGY CONJECTURE P. HU, I. KRIZ AND A.A. VORONOV 1. Introduction A conjecture of Deligne stated that the Hochschild cohomology complex of an

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• Homotopy theory
• Algebraic topology
• Category theory
• Abstract algebra
• Functors
• Highly structured ring spectrum
• Model category
• Simplicial set
• Koszul duality
• Operad theory
• Hochschild homology
• Cohomology

D-STRUCTURES AND DERIVED KOSZUL DUALITY FOR UNITAL OPERAD ALGEBRAS TYLER FOSTER, PO HU AND IGOR KRIZ Abstract. Generalizing a concept of Lipshitz, Ozsv´ath and Thurston from Bordered Floer homology, we define D-structur

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• Algebra
• Mathematics
• Algebras
• Abstract algebra
• Koszul duality
• Algebraic topology
• Operad theory
• Algebra over a field
• Coalgebra
• Exterior algebra
• Associative algebra
• C*-algebra

Corrections for A. Beilinson, V. Ginzburg, W. Soergel: Koszul duality patterns in representation theory, JAMS 9, [removed]. On page 514 in[removed]we should rather write Fh2ni = F(n) for compatibility with[removed]L

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Koszul Duality (Lecture 23) April 2, 2014

Source URL: www.math.harvard.edu

• Multilinear algebra
• Ring theory
• Koszul algebra
• Koszul-Tate resolution
• Abstract algebra
• Algebras
• Commutative algebra