Geodesic
Generalized non-commutative degeneration conjecture
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Modern problems of mathematics, mechanics, and mathematical physics, Tome 290 (2015), pp. 7-17

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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. 
@article{TM_2015_290_a0,
     author = {A. I. Efimov},
     title = {Generalized non-commutative degeneration conjecture},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {7--17},
     publisher = {mathdoc},
     volume = {290},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2015_290_a0/}
}
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A. I. Efimov. Generalized non-commutative degeneration conjecture. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Modern problems of mathematics, mechanics, and mathematical physics, Tome 290 (2015), pp. 7-17. http://geodesic.mathdoc.fr/item/TM_2015_290_a0/