Generalized non-commutative degeneration conjecture
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- Efimov, A.I. Proc. Steklov Inst. Math. (2015) 290: 1. doi:10.1134/S0081543815060012
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We propose a generalization of the Kontsevich–Soibelman conjecture on the degeneration of the Hochschild-to-cyclic spectral sequence for a smooth compact differential graded category. Our conjecture states identical vanishing of a certain map between bi-additive invariants of arbitrary small differential graded categories over a field of characteristic zero. We show that this generalized conjecture follows from the Kontsevich–Soibelman conjecture and the so-called conjecture on smooth categorical compactification.