Results 1 to 10 of about 198 (75)
Completions of discrete cluster categories of type A
Transactions of the London Mathematical Society, 2021 We complete the discrete cluster categories of type A as defined by Igusa and Todorov, by embedding such a discrete cluster category inside a larger one, and then taking a certain Verdier quotient.
Charles Paquette
exaly +2 more sources
Walls and asymptotics for Bridgeland stability conditions on 3-folds [PDF]
Épijournal de Géométrie Algébrique, 2022 We consider Bridgeland stability conditions for three-folds conjectured by Bayer-Macr\`i-Toda in the case of Picard rank one. We study the differential geometry of numerical walls, characterizing when they are bounded, discussing possible intersections ...
Marcos Jardim, Antony Maciocia
doaj +1 more source
Gluing approximable triangulated categories
Forum of Mathematics, Sigma, 2023 Given a bounded-above cochain complex of modules over a ring, it is standard to replace it by a projective resolution, and it is classical that doing so can be very useful.
Jesse Burke +2 more
doaj +1 more source
q-deformed rational numbers and the 2-Calabi–Yau category of type $A_{2}$
Forum of Mathematics, Sigma, 2023 We describe a family of compactifications of the space of Bridgeland stability conditions of a triangulated category, following earlier work by Bapat, Deopurkar and Licata. We particularly consider the case of the 2-Calabi–Yau category of the $A_2$
Asilata Bapat +2 more
doaj +1 more source
Bulletin of the London Mathematical Society, Volume 53, Issue 3, Page 956-962, June 2021., 2021 Abstract We provide a new and very short proof of the fact that a spherical functor between certain triangulated categories induces an auto‐equivalence.
Ciaran Meachan
wiley +1 more source
Homotopy cartesian squares in extriangulated categories
Open Mathematics, 2023 Let (C,E,s)\left({\mathcal{C}},{\mathbb{E}},{\mathfrak{s}}) be an extriangulated category. Given a composition of two commutative squares in C{\mathcal{C}}, if two commutative squares are homotopy cartesian, then their composition is also a homotopy ...
He Jing, Xie Chenbei, Zhou Panyue
doaj +1 more source
Bulletin of the London Mathematical Society, Volume 53, Issue 2, Page 315-335, April 2021., 2021 Abstract Much has been written about Grothendieck duality. This survey will make the point that most of this literature is now obsolete: there is a brilliant 1968 article by Verdier with the right idea on how to approach the subject. Verdier's article was largely forgotten for two decades until Lipman resurrected it, reworked it and developed the ideas
Amnon Neeman
wiley +1 more source
Decompositions of moduli spaces of vector bundles and graph potentials
Forum of Mathematics, Sigma, 2023 We propose a conjectural semiorthogonal decomposition for the derived category of the moduli space of stable rank 2 bundles with fixed determinant of odd degree, independently formulated by Narasimhan. We discuss some evidence for and furthermore propose
Pieter Belmans +2 more
doaj +1 more source
a review of A note on the axioms for n-angulated categories by Shi Xuechen; Xu Jinde [PDF]
, 2023 articl
NISHIMURA Hirokazu
core
a review of Stable categories and structured ring spectra by Blumberg Andrew J. (ed.); Gerhardt Teena (ed.); Hill Michael A. (ed.) [PDF]
, 2023 articl
NISHIMURA Hirokazu
core