6 papers
Reflexivity and Hochschild Cohomology
Isambard Goodbody
We characterise reflexive DG-categories, as introduced by Kuznetsov and Shinder, as the reflexive objects in the closed symmetric monoidal category of DG-categories localised at Mo…
Ocean neutral transport: sub-Riemannian geometry and hypoelliptic diffusion
Matthieu Chatelain, Isambard Goodbody, Nived Rajeev Saritha +1
Transport and mixing of tracers in the ocean is thought to be preferentially along neutral planes defined by the potential temperature and salinity fields. This gives rise to a con…
Reflexive dg categories in algebra and topology
Matt Booth, Isambard Goodbody, Sebastian Opper
Reflexive dg categories were introduced by Kuznetsov and Shinder to abstract the duality between bounded and perfect derived categories. In particular this duality relates their Ho…
Non-homogeneous Koszul duality in representation theory
Gwyn Bellamy, Simone Castellan, Isambard Goodbody
Motivated by the representation theory of symplectic reflection algebras, deformed preprojective algebras, and graded Hecke algebras, we consider filtered algebras whose associ…
Approximable Triangulated Categories and Reflexive DG-categories
Isambard Goodbody, Theo Raedschelders, Greg Stevenson
We use the theory of approximable triangulated categories to give a condition for a proper DG-category to be reflexive in the sense of Kuznetsov and Shinder. To do this we provide…
Tensor extriangulated categories
Raphael Bennett-Tennenhaus, Isambard Goodbody, Janina C. Letz +1
A tensor extriangulated category is an extriangulated category with a symmetric monoidal structure that is compatible with the extriangulated structure. To this end we define a not…