6 citations · 15 across the 10 of their papers we have counts for
11 papers
The prime decomposition fibre sequence for moduli spaces of reducible 3-manifolds
Rachael Boyd, Corey Bregman, Jan Steinebrunner
We study the moduli space , for a reducible, oriented 3-manifold with irreducible prime factors . A programme of César de Sá-Rourke, Hendri…
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…
2-dimensional TFTs via modular -operads
Jan Steinebrunner
This lecture series is based on joint work in progress with Shaul Barkan, as well as work in progress of the author. The five sections of these notes correspond to the five lecture…
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…
Envelopes for Algebraic Patterns
Shaul Barkan, Rune Haugseng, Jan Steinebrunner
We generalize Lurie's construction of the symmetric monoidal envelope of an -operad to the setting of algebraic patterns. This envelope becomes fully faithful when sliced o…
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…
The space of traces in symmetric monoidal infinity categories
Jan Steinebrunner
We define a tracelike transformation to be a natural family of conjugation invariant maps for all dualisable objects in any symmetric monoi…
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…