The Loday-Quillen-Tsygan map is extended from A∞-algebras to A∞-categories and shown to fit into a commutative square with ribbon and ordinary graph complexes, both classically and after quantization.
Operads and moduli spaces , 2012
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Kontsevich's Cocycle Construction and Quantization of the Loday-Quillen-Tsygan Theorem
The Loday-Quillen-Tsygan map is extended from A∞-algebras to A∞-categories and shown to fit into a commutative square with ribbon and ordinary graph complexes, both classically and after quantization.