Results 11 to 20 of about 95,143 (83)
Knot cobordism and Lee's Perturbation of Khovanov homology [PDF]
Journal of knot theory and its ramifications, 2022 For a connected cobordism S between two knots K1,K2 in S , we establish an inequality involving the number of local maxima, the genus of S, and the torsion orders of Kht(K1),Kht(K2), where Kht denotes Lee’s perturbation of Khovanov homology.
Zipei Zhuang
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An introduction to Thompson knot theory and to Jones subgroups [PDF]
Journal of knot theory and its ramifications, 2022 We review a constructions of knots from elements of the Thompson groups due to Vaughan Jones, which comes in two flavours: oriented and unoriented.
Valeriano Aiello
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A Transfer Residual Neural Network Based on ResNet-34 for Detection of Wood Knot Defects
Forests, 2021 In recent years, due to the shortage of timber resources, it has become necessary to reduce the excessive consumption of forest resources. Non-destructive testing technology can quickly find wood defects and effectively improve wood utilization.
Mingyu Gao +3 more
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A two-variable series for knot complements [PDF]
Quantum Topology, 2019 The physical 3d $\mathcal{N}=2$ theory T[Y] was previously used to predict the existence of some 3-manifold invariants $\hat{Z}_{a}(q)$ that take the form of power series with integer coefficients, converging in the unit disk.
S. Gukov, Ciprian Manolescu
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Molecules, 2020 Nanocelluloses (NC) increase mechanical and barrier paper properties allowing the use of paper in applications actually covered by other materials. Despite the exponential increase of information, NC have not been fully implemented in papermaking yet ...
A. Balea +6 more
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Large color R-matrix for knot complements and strange identities [PDF]
Journal of knot theory and its ramifications, 2020 The Gukov–Manolescu series, denoted by [Formula: see text], is a conjectural invariant of knot complements that, in a sense, analytically continues the colored Jones polynomials.
Sunghyuk Park
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A lower bound on the average genus of a 2-bridge knot [PDF]
Journal of knot theory and its ramifications, 2021 Experimental data from Dunfield et al using random grid diagrams suggests that the genus of a knot grows linearly with respect to the crossing number. Using billiard table diagrams of Chebyshev knots developed by Koseleff and Pecker and a random model of
Moshe Cohen
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Electron, Volume 2, Issue 2, May 2024.Cellulose hydrogel‐based smart materials have attracted widespread research interest for numerous electronic applications, from energy storage to advanced healthcare. Abstract There has been a significant scope toward the cutting‐edge investigations in hierarchical carbon nanostructured electrodes originating from cellulosic materials, such as ...
Pariksha Bishnoi +3 more
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Biomass‐based materials for advanced supercapacitor: principles, progress, and perspectives
Aggregate, Volume 5, Issue 1, February 2024.Starting from the physical and chemical properties of biopolymers, the classification and basic principles of supercapacitors, the impact of biomass‐based materials on supercapacitors is introduced. Then, the latest specific applications of biomass‐based materials are comprehensively discussed in terms of both electrode and electrolyte materials ...
Yaxuan Wang +5 more
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Tidal surface states as fingerprints of non-Hermitian nodal knot metals [PDF]
Communications Physics, 2018 Non-Hermitian nodal knot metals (NKMs) contain intricate complex-valued energy bands which give rise to knotted exceptional loops and new topological surface states. We introduce a formalism that connects the algebraic, geometric, and topological aspects
Ching Hua Lee +5 more
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