Matthew B. Young

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20232026

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math.CT2024

Hall algebras via 2-Segal spaces

Benjamin Cooper, Matthew B. Young

This is an introduction to Hall algebras from the perspective of $2$ -Segal spaces or decomposition spaces, as introduced by Dyckerhoff and Kapranov and Gálvez-Carrillo, Kock and To…

math.QA2024

Non-semisimple topological field theory and $Z$ -invariants from $osp (1∣2)$

Francesco Costantino, Matthew Harper, Adam Robertson +1

We construct three-dimensional non-semisimple topological field theories from the unrolled quantum group of the Lie superalgebra $osp (1∣2)$ . More precisely, the qu…

Hall algebras via 2-Segal spaces

Non-semisimple topological field theory and Z-invariants from osp(1∣2)

Non-semisimple topological field theory and $Z$ -invariants from $osp (1∣2)$