[图书][B] Knot theory
VO Manturov - 2018 - taylorfrancis.com
Over the last fifteen years, the face of knot theory has changed due to various new theories
and invariants coming from physics, topology, combinatorics and alge-bra. It suffices to …
and invariants coming from physics, topology, combinatorics and alge-bra. It suffices to …
Link homology and Frobenius extensions II
M Khovanov, LH Robert - arXiv preprint arXiv:2005.08048, 2020 - arxiv.org
The first two sections of the paper provide a convenient scheme and additional
diagrammatics for working with Frobenius extensions responsible for key flavors of …
diagrammatics for working with Frobenius extensions responsible for key flavors of …
[HTML][HTML] The sln foam 2-category: a combinatorial formulation of Khovanov–Rozansky homology via categorical skew Howe duality
H Queffelec, DEV Rose - Advances in Mathematics, 2016 - Elsevier
We give an elementary construction of colored sl n link homology. The invariant takes values
in a 2-category where 2-morphisms are given by foams, singular cobordisms between sl n …
in a 2-category where 2-morphisms are given by foams, singular cobordisms between sl n …
A closed formula for the evaluation of foams
LH Robert, E Wagner - Quantum Topology, 2020 - ems.press
A closed formula for the evaluation of foams Page 1 Quantum Topol. 11 (2020), 411–487 DOI
10.4171/QT/139 Quantum Topology © European Mathematical Society A closed formula for …
10.4171/QT/139 Quantum Topology © European Mathematical Society A closed formula for …
Khovanov homology is a skew Howe 2–representation of categorified quantum 𝔰𝔩m
We show that Khovanov homology (and its sl 3 variant) can be understood in the context of
higher representation theory. Specifically, we show that the combinatorially defined foam …
higher representation theory. Specifically, we show that the combinatorially defined foam …
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 …
endobicategory, which is a pair: bicategory and endobifunctor. For a graded linear …
[PDF][PDF] Functoriality of colored link homologies
M Ehrig, D Tubbenhauer, P Wedrich - arXiv preprint arXiv:1703.06691, 2017 - arxiv.org
Functoriality of colored link homologies Page 1 FUNCTORIALITY OF COLORED LINK
HOMOLOGIES MICHAEL EHRIG, DANIEL TUBBENHAUER, AND PAUL WEDRICH Abstract …
HOMOLOGIES MICHAEL EHRIG, DANIEL TUBBENHAUER, AND PAUL WEDRICH Abstract …
Invariants of 4-manifolds from Khovanov-Rozansky link homology
S Morrison, K Walker, P Wedrich - Geom. Topol, 2022 - msp.org
Following the seminal articles of Jones, Witten and Atiyah [38; 86; 3], Crane and Frenkel
outlined their vision for an algebraic construction of invariants of smooth 4–dimensional …
outlined their vision for an algebraic construction of invariants of smooth 4–dimensional …
[HTML][HTML] Exponential growth of colored HOMFLY-PT homology
P Wedrich - Advances in Mathematics, 2019 - Elsevier
We define reduced colored gl N link homologies and use deformation spectral sequences to
characterize their dependence on color and rank. We then define reduced colored HOMFLY …
characterize their dependence on color and rank. We then define reduced colored HOMFLY …
Webs and 𝑞-Howe dualities in types 𝐁𝐂𝐃
A Sartori, D Tubbenhauer - Transactions of the American Mathematical …, 2019 - ams.org
We define web categories describing intertwiners for the orthogonal and symplectic Lie
algebras and, in the quantized setup, for certain orthogonal and symplectic coideal …
algebras and, in the quantized setup, for certain orthogonal and symplectic coideal …