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- W3134766627 abstract "We study the question of dualizability in higher Morita categories of locally presentable tensor categories and braided tensor categories. Our main results are that the 3-category of rigid tensor categories with enough compact projectives is 2-dualizable, that the 4-category of rigid braided tensor categories with enough compact projectives is 3-dualizable, and that (in characteristic zero) the 4-category of braided multi-fusion categories is 4-dualizable. Via the cobordism hypothesis, this produces respectively two-, three- and four-dimensional framed local topological field theories. In particular, we produce a framed three-dimensional local topological field theory attached to the category of representations of a quantum group at any value of $q$ ." @default.
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- W3134766627 date "2021-03-01" @default.
- W3134766627 modified "2023-09-30" @default.
- W3134766627 title "On dualizability of braided tensor categories" @default.
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- W3134766627 doi "https://doi.org/10.1112/s0010437x20007630" @default.
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