Zobrazeno 1 - 10
of 38
pro vyhledávání: '"Broomhead, Nathan"'
We characterise when a simple Happel-Reiten-Smalo tilt of a length heart is again a length heart in terms of approximation theory and the existence of a stability condition with a phase gap. We apply simple-minded reduction to provide a sufficient co
Externí odkaz:
http://arxiv.org/abs/2401.02947
We apply convex geometry (cones, fans) to homological input (abelian categories, hearts of bounded t-structures) to construct a new invariant of an abelian category, its heart fan. This can be viewed as a `universal phase diagram' for Bridgeland stab
Externí odkaz:
http://arxiv.org/abs/2310.02844
We introduce two partial compactifications of the space of Bridgeland stability conditions of a triangulated category. First we consider lax stability conditions where semistable objects are allowed to have mass zero but still have a phase. The subca
Externí odkaz:
http://arxiv.org/abs/2208.03173
Autor:
Broomhead, Nathan T
We classify the thick subcategories of discrete derived categories. To do this we introduce certain generating sets called arc-collections which correspond to configurations of non-crossing arcs on a geometric model. We show that every thick subcateg
Externí odkaz:
http://arxiv.org/abs/1608.06904
Publikováno v:
Bull. London Math. Soc. 50 (2018) 174-188
We introduce and study several homological notions which generalise the discrete derived categories of D. Vossieck. As an application, we show that Vossieck discrete algebras have this property with respect to all bounded t-structures. We give many e
Externí odkaz:
http://arxiv.org/abs/1512.01482
Autor:
Broomhead, Nathan
In this thesis we use techniques from algebraic geometry and homological algebra, together with ideas from string theory to construct a class of 3-dimensional Calabi-Yau algebras. The Calabi-Yau property appears throughout geometry and string theory
Externí odkaz:
http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.500694
Discrete derived categories were studied initially by Vossieck \cite{Vossieck} and later by Bobi\'nski, Gei\ss, Skowro\'nski \cite{BGS}. In this article, we define the CW complex of silting pairs for a triangulated category and show that it is contra
Externí odkaz:
http://arxiv.org/abs/1407.5944
Discrete derived categories were studied initially by Vossieck and later by Bobi\'nski, Gei\ss, Skowro\'nski. In this article, we describe the homomorphism hammocks and autoequivalences on these categories. We classify silting objects and bounded t-s
Externí odkaz:
http://arxiv.org/abs/1312.5203
We ask when a finite set of t-structures in a triangulated category can be `averaged' into one t-structure or, equivalently, when the extension closure of a finite set of aisles is again an aisle. There is a straightforward, positive answer for a fin
Externí odkaz:
http://arxiv.org/abs/1208.5691