6 citations · 15 across the 10 of their papers we have counts for
7 papers · 1 filter
Open 2D TFTs admit initial open-closed extensions
Shaul Barkan, Jan Steinebrunner, Adela YiYu Zhang
We show that any open 2-dimensional topological field theory valued in a symmetric monoidal -category (with suitable colimits) extends canonically to an open-closed field t…
Segalification and the Boardman-Vogt tensor product
Shaul Barkan, Jan Steinebrunner
We develop an analog of Dugger and Spivak's necklace formula providing an explicit description of the Segal space generated by an arbitrary simplicial space. We apply this to obtai…
The equifibered approach to -properads
Shaul Barkan, Jan Steinebrunner
We define a notion of -properads that generalises -operads by allowing operations with multiple outputs. Specializing to the case where each operation has a single…
The surface category and tropical curves
Jan Steinebrunner
We compute the classifying space of the surface category whose objects are closed oriented -manifolds and whose morphisms are diffeomorphism classes of orient…
The classifying space of the one-dimensional bordism category and a cobordism model for TC of spaces
Jan Steinebrunner
The homotopy category of the bordism category has as objects closed oriented -manifolds and as morphisms diffeomorphism classes of -dimensional bordisms. Using…
Locally (co)Cartesian fibrations as realisation fibrations and the classifying space of cospans
Jan Steinebrunner
We show that the conditions in Steimle's 'additivity theorem for cobordism categories' can be weakened to only require \emph{locally} (co)Cartesian fibrations, making it applicable…
Homotopy- and Cohomology Groups of Kan Complexes
Jan Steinebrunner
This article shows several new methods for proofs on Kan complexes while using them to give a compact introduction to the homotopy groups of these complexes. Then more advanced obj…