Jan Steinebrunner

activity

20242026

collaborators

Showing math.ATShow all

4 papers · 1 filter

math.AT2026

The surface category and tropical curves

Jan Steinebrunner

We compute the classifying space of the surface category $h Bord_{2}$ whose objects are closed oriented $1$ -manifolds and whose morphisms are diffeomorphism classes of orient…

math.AT2025

The equifibered approach to $\infty$ -properads

Shaul Barkan, Jan Steinebrunner

We define a notion of $\infty$ -properads that generalises $\infty$ -operads by allowing operations with multiple outputs. Specializing to the case where each operation has a single…

math.AT2025

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 $\infty$ -category (with suitable colimits) extends canonically to an open-closed field t…

math.AT2024

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 surface category and tropical curves

The equifibered approach to ∞-properads

Open 2D TFTs admit initial open-closed extensions

Segalification and the Boardman-Vogt tensor product

The equifibered approach to $\infty$ -properads