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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 -category (with suitable colimits) extends canonically to an open-closed field t…
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 has as objects closed oriented -manifolds and as morphisms diffeomorphism classes of -dimensional bordisms. Using…