WebENHANCED FINITE TRIANGULATED CATEGORIES FERNANDO MURO Abstract. We give a necessary and su cient condition for the existence of an enhancement of a nite … WebAug 1, 2013 · Tilting bundles and the missing part on a weighted projective line of type ( 2, 2, n) Journal of Pure and Applied Algebra, Volume 219, Issue 7, 2015, pp. 2538-2558. This work is supported by Grant-in Aid for Young Scientists B ( 22740033) of the Japan Society for the Promotion of Science.

On A∞-enhancements for triangulated categories - ScienceDirect

WebJul 1, 2010 · Abstract. The paper contains general results on the uniqueness of a DG enhancement for triangulated categories. As a consequence we obtain such … WebIf Tis a small dg-enhanced triangulated category and D(T) is the derived category of right dg-modules over T, we say that an object M∈D(T) is homologically finite-dimensional if M(t) ∈Db(k), i.e., M(t) is bounded and finite-dimensional for any object t∈T(see Definition 3.1). The category Dfd(T) of homologically finite-dimensional ... brick column wrap detail

[2303.11826] $A_{\infty}$-structures in monoidal DG categories …

WebNov 15, 2024 · Toën [12] gave a construction of what he called derived Hall algebras for DG-enhanced triangulated categories satisfying certain finiteness conditions. Later, … WebMar 21, 2024 · Rina Anno, Sergey Arkhipov, Timothy Logvinenko. We define -structures -- algebras, coalgebras, modules, and comodules -- in an arbitrary monoidal DG category or bicategory by rewriting their definitions in terms of unbounded twisted complexes. We develop new notions of strong homotopy unitality and bimodule homotopy unitality to … Webenhanced triangulated structure are ˘= I, where I is an invertible 3-bimodule whose inverse is stably isomorphic to e . (3)If is as above, any two enhancements of (T ;) are Morita equivalent. Most triangulated categories appearing in the literature are born with an en-hancement. This theorem is still interesting for nite triangulated ... cover huawei mate 20 light