Jan Steinebrunner

activity

20202026

collaborators

4 papers

math.GT2026

The prime decomposition fibre sequence for moduli spaces of reducible 3-manifolds

Rachael Boyd, Corey Bregman, Jan Steinebrunner

We study the moduli space $B Diff^{+} (M)$ , for $M$ a reducible, oriented 3-manifold with irreducible prime factors $P_{1}, \dots, P_{n}$ . A programme of César de Sá-Rourke, Hendri…

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.CT2025

2-dimensional TFTs via modular $\infty$ -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…

math.AT2020

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 $h B or d_{d}$ has as objects closed oriented $(d - 1)$ -manifolds and as morphisms diffeomorphism classes of $d$ -dimensional bordisms. Using…

The prime decomposition fibre sequence for moduli spaces of reducible 3-manifolds

Open 2D TFTs admit initial open-closed extensions

2-dimensional TFTs via modular ∞-operads

The classifying space of the one-dimensional bordism category and a cobordism model for TC of spaces

2-dimensional TFTs via modular $\infty$ -operads