Add to ORKGWe study duals for objects and adjoints for $k$-morphisms in an $(\infty,n+N)$-category $\mathrm{Alg}_n(\mathcal{S})$ that models a higher Morita category for $E_n$ algebra objects in $\mathcal{S}$, a symmetric monoidal $(\infty,N)$-category. Our model of $\mathrm{Alg}_n(\mathcal{S})$ uses the geometrically convenient framework of factorization algebras. The main result is that $\mathrm{Alg}_n(\mathcal{S})$ is fully $n$-dualizable, verifying a conjecture of Lurie. Moreover, we unpack the consequences for a natural class of fully extended topological field theories and explore $(n+1)$-dualizability
We develop a homotopy theoretical version of classical Morita theory using the notion of a strong mo...
51 pages, v2.We provide a calculus of mates for functors to the $\infty$-category of $\infty$-catego...
Lambek and Rattray have developed a categorical approach to duality which encompasses many known dua...
We study duals for objects and adjoints for $k$-morphisms in an $(\infty,n+N)$-category $\mathrm{Alg...
In this talk I will explain how one can use geometric arguments to obtain results on dualizablity in...
In this talk I will explain how one can use geometric arguments to obtain results on dualizablity in...
We identify natural symmetries of each rigid higher braided category. Specifically, we construct a f...
In this thesis we prove a Tannaka duality theorem for (∞, 1)-categories. Classical Tannaka duality i...
A fully extended framed topological field theory with target in a symmetric monoidal n-catgeory is ...
Motivated by the challenge of defining twisted quantum field theories in the context of higher categ...
A fully extended framed topological field theory with target in a symmetric monoidal n-catgeory ...
Category Theory has developed rapidly. This book aims to present those ideas and methods which can n...
We address the problem of proving that a finite algebraM is dualizable, or strongly dualizable, in t...
We develop a homotopy theoretical version of classical Morita theory using the notion of a strong mo...
The topic of this book sits at the interface of the theory of higher categories (in the guise of (∞,...
We develop a homotopy theoretical version of classical Morita theory using the notion of a strong mo...
51 pages, v2.We provide a calculus of mates for functors to the $\infty$-category of $\infty$-catego...
Lambek and Rattray have developed a categorical approach to duality which encompasses many known dua...
We study duals for objects and adjoints for $k$-morphisms in an $(\infty,n+N)$-category $\mathrm{Alg...
In this talk I will explain how one can use geometric arguments to obtain results on dualizablity in...
In this talk I will explain how one can use geometric arguments to obtain results on dualizablity in...
We identify natural symmetries of each rigid higher braided category. Specifically, we construct a f...
In this thesis we prove a Tannaka duality theorem for (∞, 1)-categories. Classical Tannaka duality i...
A fully extended framed topological field theory with target in a symmetric monoidal n-catgeory is ...
Motivated by the challenge of defining twisted quantum field theories in the context of higher categ...
A fully extended framed topological field theory with target in a symmetric monoidal n-catgeory ...
Category Theory has developed rapidly. This book aims to present those ideas and methods which can n...
We address the problem of proving that a finite algebraM is dualizable, or strongly dualizable, in t...
We develop a homotopy theoretical version of classical Morita theory using the notion of a strong mo...
The topic of this book sits at the interface of the theory of higher categories (in the guise of (∞,...
We develop a homotopy theoretical version of classical Morita theory using the notion of a strong mo...
51 pages, v2.We provide a calculus of mates for functors to the $\infty$-category of $\infty$-catego...
Lambek and Rattray have developed a categorical approach to duality which encompasses many known dua...