Nahm sums, quiver A-polynomials and topological recursion by Hélder Larraguível, Dmitry Noshchenko, Miłosz Panfil, Piotr Sułkowski

“…In view of recently found dualities, for an appropriate choice of quivers, these results have a direct interpretation in topological string theory, knot theory, counting of lattice paths, and related topics. …”
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Unusual Mathematical Approaches Untangle Nervous Dynamics by Arturo Tozzi, Lucio Mariniello

“…The multisynaptic ascending fibers connecting the peripheral receptors to the neocortical areas can be assessed in terms of knot theory/braid groups. Presheaves from category theory permit the tackling of nervous phase spaces in terms of the theory of infinity categories, highlighting an approach based on equivalence rather than equality. …”
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Universal Racah matrices and adjoint knot polynomials: Arborescent knots by A. Mironov, A. Morozov

“…The adjoint polynomials do not distinguish between mutants and therefore are not very efficient in knot theory, however, universal polynomials in higher representations can probably be better in this respect.…”
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Learning knot invariants across dimensions by Jessica Craven, Mark Hughes, Vishnu Jejjala, Arjun Kar

“…A theoretical explanation for this performance exists in knot theory via the now disproven knight move conjecture, which is obeyed by all knots in our dataset. …”
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Multi-boundary entanglement in Chern-Simons theory and link invariants by Vijay Balasubramanian, Jackson R. Fliss, Robert G. Leigh, Onkar Parrikar

“…This formula connects simple concepts in quantum information theory, knot theory, and number theory, and shows that entanglement entropy between sublinks vanishes if and only if they have zero Gauss linking (mod k). …”
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Quantifying steric hindrance and topological obstruction to protein structure superposition by Peter Røgen

“…A new path is constructed by altering the linear interpolation using a novel interpretation of Reidemeister moves from knot theory working on three-dimensional curves rather than on knot diagrams. …”
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GISA: using Gauss Integrals to identify rare conformations in protein structures by Christian Grønbæk, Thomas Hamelryck, Peter Røgen

“…We here propose a general method which transforms a structure into a ”fingerprint of topological-geometric values” consisting in a series of real-valued descriptors from mathematical Knot Theory. The extent to which a structure contains unusual configurations can then be judged from this fingerprint. …”
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On interval number in cycle convexity by Julio Araujo, Guillaume Ducoffe, Nicolas Nisse, Karol Suchan

“…In their seminal work, they studied the graph convexity parameter called hull number for this new graph convexity they proposed, and they presented some of its applications in Knot theory. Roughly, the tunnel number of a knot embedded in a plane is upper bounded by the hull number of a corresponding planar 4-regular graph in cycle convexity. …”
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Quantum money and scalable 21-cm cosmology by Lutomirski, Andrew (Andrew Michael)

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Solutions of the Yang–Baxter Equation and Automaticity Related to Kronecker Modules by Agustín Moreno Cañadas, Pedro Fernando Fernández Espinosa, Adolfo Ballester-Bolinches

“…It has allowed advances in physics, knot theory, quantum computing, cryptography, quantum groups, non-associative algebras, Hopf algebras, etc. …”
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Racetrack memory based logic design for in-memory computing by Luo, Tao

“…Modular multiplication is widely used in various applications such as cryptography, number theory, group theory, ring theory, knot theory, abstract algebra, computer algebra, computer science, chemistry and the visual and musical arts. …”
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Simplicial models and topological inference in biological systems by Nanda, V, Sazdanovic, R

“…This book contains expository chapters on how contemporary models from discrete mathematics – in domains such as algebra, combinatorics, and graph and knot theories – can provide perspective on biomolecular problems ranging from data ...…”

FRACTAL MODEL OF THE UNIVERSE by N. V. Maksyuta

“…In the paper for the first time from the point of view of knots theory it is considered a fractal model of the Universe. …”
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On the torsional energy of torus knots under infinitesimal bending by Maksimović Miroslav D., Rančić Svetozar R., Najdanović Marija S., Velimirović Ljubica S., Ljajko Eugen S.

“…The article deals with the infinitesimal bending theory application to the knots theory. The impact of infinitesimal bending on the torsional energy at torus knots is considered, and the results show that it is not stationary under infinitesimal bending. …”
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El concepto de locura en la obra de Jacques Lacan The Concept Of Madness In The Jacques Lacan Work's by Pablo D. Muñoz

“…In order to do it, we will explore the differences between "madness" and "psychosis" with his knots theory support, where the psychosis and neurosis like particular different form of knotting, and also defines "madness" like a registers untied. …”
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