63 citations · 158 across the 13 of their papers we have counts for
6 papers · 1 filter
Assembly of Constructible Factorization Algebras
Eilind Karlsson, Claudia I. Scheimbauer, Tashi Walde
We provide a toolbox of extension, gluing, and assembly techniques for factorization algebras. Using these tools, we fill various gaps in the literature on factorization algebras o…
Comparison of Waldhausen constructions
Julia E. Bergner, Angélica M. Osorno, Viktoriya Ozornova +2
In previous work, we develop a generalized Waldhausen -construction whose input is an augmented stable double Segal space and whose output is a unital 2-Segal space. H…
2-Segal objects and the Waldhausen construction
Julia E. Bergner, Angélica M. Osorno, Viktoriya Ozornova +2
In a previous paper, we showed that a discrete version of the -construction gives an equivalence of categories between unital 2-Segal sets and augmented stable double ca…
The edgewise subdivision criterion for 2-Segal objects
Julia E. Bergner, Angélica M. Osorno, Viktoriya Ozornova +2
We show that the edgewise subdivision of a -Segal object is always a Segal object, and furthermore that this property characterizes -Segal objects.
2-Segal sets and the Waldhausen construction
Julia E. Bergner, Angélica M. Osorno, Viktoriya Ozornova +2
It is known by results of Dyckerhoff-Kapranov and of Gálvez--Carrillo-Kock-Tonks that the output of the Waldhausen S.-construction has a unital 2-Segal structure. Here, we prove th…
A note on the -category of cobordisms
Damien Calaque, Claudia Scheimbauer
In this extended note we give a precise definition of fully extended topological field theories à la Lurie. Using complete -fold Segal spaces as a model, we construct an $(\inft…