A QFT for non-semisimple TQFT

T Creutzig, T Dimofte, N Garner, N Geer - ar** tori
S Chun, S Gukov, S Park, N Sopenko - Journal of High Energy Physics, 2020 - Springer
A bstract One of the main challenges in 3d-3d correspondence is that no existent approach
offers a complete description of 3d\(\mathcal {N}\)= 2 SCFT T [M 3]—or, rather, a “collection …

Quantum link homology via trace functor I

A Beliakova, KK Putyra, SM Wehrli - Inventiones mathematicae, 2019 - Springer
Motivated by topology, we develop a general theory of traces and shadows for an
endobicategory, which is a pair: bicategory and endobifunctor. For a graded linear …

[BOOK][B] Encyclopedia of knot theory

C Adams, E Flapan, A Henrich, LH Kauffman… - 2021 - api.taylorfrancis.com
" Knot theory is a fascinating mathematical subject, with multiple links to theoretical physics.
This enyclopedia is filled with valuable information on a rich and fascinating subject."–Ed …

Sutured annular Khovanov-Rozansky homology

H Queffelec, D Rose - Transactions of the American Mathematical Society, 2018 - ams.org
We introduce an $\mathfrak {sl} _n $ homology theory for knots and links in the thickened
annulus. To do so, we first give a fresh perspective on sutured annular Khovanov homology …

On the center of quiver Hecke algebras

P Shan, M Varagnolo, E Vasserot - 2017 - projecteuclid.org
We compute the equivariant cohomology ring of the moduli space of framed instantons over
the affine plane. It is a Rees algebra associated with the center of cyclotomic degenerate …

[HTML][HTML] Trace decategorification of the Hecke category

B Elias, AD Lauda - Journal of Algebra, 2016 - Elsevier
Trace decategorification of the Hecke category - ScienceDirect Skip to main contentSkip to
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Annular evaluation and link homology

H Queffelec, DEV Rose, A Sartori - arxiv preprint arxiv:1802.04131, 2018 - arxiv.org
We use categorical annular evaluation to give a uniform construction of both $\mathfrak {sl}
_n $ and HOMFLYPT Khovanov-Rozansky link homology, as well as annular versions of …

Representations of the oriented skein category

J Brundan - arxiv preprint arxiv:1712.08953, 2017 - arxiv.org
The oriented skein category $ OS (z, t) $ is a ribbon category which underpins the definition
of the HOMFLY-PT invariant of an oriented link, in the same way that the Temperley-Lieb …

Current algebras and categorified quantum groups

A Beliakova, K Habiro, AD Lauda… - Journal of the London …, 2017 - Wiley Online Library
We identify the trace, or zeroth Hochschild homology, of categorified quantum groups of
ADE type with the corresponding current algebra of the same type. To prove this, we show …