Fully-Dualizable and Invertible En-Algebras
Abstract
We prove a conjecture of Brochier, Jordan, Safronov, and Snyder [BJSS21], first formulated by Lurie [Lur09b], characterizing fully-dualizable and invertible En-algebras viewed as objects in the higher Morita categories Morn(V) [Lur09b, Sch14, Hau17b, Hau23]. In other words, we characterize those En-algebras which give rise to (n + 1)-dimensional topological quantum field theories (TQFT), and those which give rise to invertible theories.
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