Enhanced triangulated categories
WebWe observe that the resulting triangulated orbit categories provide many examples of triangulated categories with the Calabi-Yau property. These include the category of projective modules over a preprojective algebra of generalized Dynkin type in the sense of Happel-Preiser-Ringel [27], whose triangulated structure goes back to Auslander-Reiten’s WebAug 22, 2024 · In past talks at this conference we have seen the definition of a triangulated category and some examples of familiar triangulated categories, including the homotopy category \(\mathscr {H}(R)\) and the derived category \(\mathscr {D}(R)\) of modules over some ring R.These categories are defined by applying certain constructions to the …
Enhanced triangulated categories
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WebnLab WebJun 18, 2024 · ENHANCED FINITE TRIANGULATED CATEGORIES - Volume 21 Issue 3. To save this article to your Kindle, first ensure [email protected] is added to …
WebJul 2, 2024 · Abstract. Given a finite group action on a (suitably enhanced) triangulated category linear over a field, we establish a formula for the Hochschild cohomology of the … WebOct 18, 2007 · In general, for any A ∞ -category A , we can construct the enhanced triangulated category T r(A ) by using Bondal-Kapranov-Kontsevich construction [7, …
WebIn this article, we investigate semi-orthogonal decompositions of the symmetric products of dg-enhanced triangulated categories. Given a semi-orthogonal decomposition $\mathcal{D}=\langle \mathcal ... 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 ...
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 24, 2024 · Abstract. We lift Grothendieck–Verdier–Spaltenstein’s six functor formalism for derived categories of sheaves on ringed spaces over a field to differential graded enhancements. Our main tools come from enriched model category theory. Download to read the full article text. conan exiles shaleback pet dietWebJan 4, 2024 · A triangulated category linear over a field k k can canonically be refined to. an enhanced triangulated category: a pretriangulated dg-category; an A-infinity … conan exiles shaved and oiled modWebJun 18, 2024 · Enhanced ˝nite triangulated categories 743 Most triangulated categories appearing in the literature are born with an enhancement. This theorem is still interesting for nite triangulated categories for which an enhancement is known since it shows uniqueness up to Morita equivalence. The stable category mod.A/of nite-dimensional modules over a ... conan exiles scorpion world boss chesteconomy class 2 vestWebNov 15, 2024 · Toën [12] gave a construction of what he called derived Hall algebras for DG-enhanced triangulated categories satisfying certain finiteness conditions. Later, Xiao and Xu [13] showed that Toën's definition also applies to any triangulated categories satisfying certain finiteness conditions. They proved the associativity formulas of the ... conan exiles shattered scourgestoneWebIf 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 ... conan exiles shaleback shellWebIn section 8, we observe that triangulated orbit categories provide easily con structed examples of triangulated categories with the CalabiYau property. Fi - nally, in section … conan exiles seth\u0027s truncheon