An E_n-algebra is (n+1)-dualizable in the higher Morita category exactly when it is dualizable as a module over each sphere-shaped factorization homology, confirming conjectures of Lurie and Brochier–Jordan–Safranov–Snyder.
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On dualizability and invertibility in the higher Morita category
An E_n-algebra is (n+1)-dualizable in the higher Morita category exactly when it is dualizable as a module over each sphere-shaped factorization homology, confirming conjectures of Lurie and Brochier–Jordan–Safranov–Snyder.