16 citations · 68 across the 25 of their papers we have counts for
30 papers
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…
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…
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…
Filtered derived categories of curved deformations
Alessandro Lehmann, Wendy Lowen
We propose a solution to the "curvature problem" from arXiv:1505.03698 and arXiv:0905.3845 for infinitesimal deformations. Let be a field, a dg algebra over and $A_n =…
Deformations of quasi-categories in modules
Violeta Borges Marques, Wendy Lowen, Arne Mertens
The framework of templicial objects was put forth in arXiv:2302.02484v1 in order to develop higher categorical concepts in the presence of enrichment. In particular, quasi-categori…
Box operads and higher Gerstenhaber brackets
Hoang Dinh Van, Lander Hermans, Wendy Lowen
We introduce a symmetric operad ("box-op") which describes a certain calculus of rectangular labeled ``boxes''. Algebras over , which we call box operads, ha…