Results 21 to 30 of about 66,004 (283)
Periodizable motivic ring spectra [PDF]
, 2009 We show that the cellular objects in the module category over a motivic E infinity ring spectrum E can be described as the module category over a graded topological spectrum if E is strongly periodizable in our language. A similar statement is proven for
Spitzweck, Markus
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Forum of Mathematics, Sigma, 2019 We construct, for any set of primes $S$, a triangulated category (in fact a stable $\infty$-category) whose Grothendieck group is $S^{-1}\mathbf{Z}$. More generally, for any exact $\infty$-category $E$, we construct an exact $\infty$-category $S^{-1}E ...
CLARK BARWICK +4 more
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A note on triangulated monads and categories of module spectra [PDF]
, 2018 Consider a monad on an idempotent complete triangulated category with the property that its Eilenberg-Moore category of modules inherits a triangulation.
Dell'Ambrogio, Ivo, Sanders, Beren
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On the centre of a triangulated category
Proceedings of the Edinburgh Mathematical Society, 2011 AbstractWe discuss some basic properties of the graded centre of a triangulated category and compute examples arising in representation theory of finite-dimensional algebras.
Krause, Henning, Ye, Yu
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Homological Systems in Triangulated Categories [PDF]
Applied Categorical Structures, 2014 We introduce the notion of homological systems $Θ$ for triangulated categories. Homological systems generalize, on one hand, the notion of stratifying systems in module categories, and on the other hand, the notion of exceptional sequences in triangulated categories.
Octavio Mendoza Hernández +1 more
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The realization of higher-dimensional breaking mechanism
Pracì Mìžnarodnogo Geometričnogo Centru, 2014 We study D-branes on Calabi-Yau threefolds, which are realized through the blowing up the singularity of orbifold. This D-branes are represented as sheaves, which can be stable or unstable, what is connected with the transition in the Teichmüller space ...
Т. В. Обиход
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THE DIMENSION OF A SUBCATEGORY OF MODULES
Forum of Mathematics, Sigma, 2015 Let $R$ be a commutative noetherian local ring. As an analog of the notion of the dimension of a triangulated category defined by Rouquier, the notion of the dimension of a subcategory of finitely generated $R$-modules is introduced in this paper.
HAILONG DAO, RYO TAKAHASHI
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Journal of High Energy Physics, 2022 We concentrate on a treatment of a Higgs-Coulomb duality as an absence of manifest phase transition between ordered and disordered phases of 2d N $$ \mathcal{N} $$ = (2, 2) theories.
Dmitry Galakhov
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Torsion pairs in a triangulated category generated by a spherical object [PDF]
, 2015 We extend Ng's characterisation of torsion pairs in the 2-Calabi-Yau triangulated category generated by a 2-spherical object to the characterisation of torsion pairs in the w-Calabi-Yau triangulated category, $T_w$, generated by a w-spherical object for ...
Pauksztello, David +1 more
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The co-stability manifold of a triangulated category [PDF]
, 2011 Stability conditions on triangulated categories were introduced by Bridgeland as a 'continuous' generalisation of t-structures. The set of locally-finite stability conditions on a triangulated category is a manifold which has been studied intensively ...
Aihara +2 more
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