3 papers
math.AG2025
Deformation theory for a morphism in the derived category with fixed lift of the codomain
Pieter Belmans, Wendy Lowen, Shinnosuke Okawa +1
We develop the deformation-obstruction calculus for morphisms of complexes with a fixed lift of the codomain, to derived categories of flat nilpotent deformations of abelian catego…
math.AG2025
Hochschild cohomology and extensions of triangulated categories
Alessandro Lehmann, Wendy Lowen
We define a notion of categorical first order deformations for (enhanced) triangulated categories. For a category , we show that there is a bijection between $\operato…
math.CT2024
Deformations of triangulated categories with t-structures via derived injectives
Francesco Genovese, Wendy Lowen, Julie Symons +1
This paper provides the final ingredient in the development of the deformation theory of pretriangulated dg-categories endowed with a nice t-structure, which was initiated by the a…