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Cospan contexts and higher categories
Lorenzo Riva
Motivated by the desire to turn the cobordism hypothesis (a statement about the universal property of some -category of bordisms) into a -categorical statement, we prove that…
Zigzags and free adjunctions
Lorenzo Riva, Martina Rovelli
We construct an explicit combinatorial model of the functor which adds right adjoints to the morphisms of an -category, and we speculate on possible extensions to higher di…
Higher categories of push-pull spans, II: Matrix factorizations
Lorenzo Riva
This is the second part of a project aimed at formalizing Rozansky-Witten models in the functorial field theory framework. In the first part we constructed a symmetric monoidal $(\…
Higher categories of push-pull spans, I: Construction and applications
Lorenzo Riva
This is the first part of a project aimed at formalizing Rozansky-Witten models in the functorial field theory framework. Motivated by work of Calaque-Haugseng-Scheimbauer, we cons…