Generalized non-commutative degeneration conjecture
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2015
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| _version_ | 1866909480911896576 |
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| author | Efimov, Alexander I. |
| author_facet | Efimov, Alexander I. |
| contents | In this paper we propose a generalization of the Kontsevich--Soibelman conjecture on the degeneration of Hochschild-to-cyclic spectral sequence for smooth and compact DG category. Our conjecture states identical vanishing of a certain map between bi-additive invariants of arbitrary small DG 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1506_00311 |
| institution | arXiv |
| publishDate | 2015 |
| record_format | arxiv |
| spellingShingle | Generalized non-commutative degeneration conjecture Efimov, Alexander I. Algebraic Geometry K-Theory and Homology 18G40, 16E40, 19D55 In this paper we propose a generalization of the Kontsevich--Soibelman conjecture on the degeneration of Hochschild-to-cyclic spectral sequence for smooth and compact DG category. Our conjecture states identical vanishing of a certain map between bi-additive invariants of arbitrary small DG 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. |
| title | Generalized non-commutative degeneration conjecture |
| topic | Algebraic Geometry K-Theory and Homology 18G40, 16E40, 19D55 |
| url | https://arxiv.org/abs/1506.00311 |