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math.CT2026
Relative dualizability and the cobordism hypothesis for defects
William Stewart
This paper compares two candidate notions of morphism in the setting of fully local topological field theory. A first description can be formulated in terms of defects of codimensi…
math.CT2026
On dualizability and invertibility in the higher Morita category
Claudia Scheimbauer, Pelle Steffens, William Stewart
We prove a conjecture of Lurie characterizing -dualizability in higher Morita categories of -algebras in terms of dualizability over certain factorization homo…