Results 91 to 100 of about 14,402,713 (324)
A BRAIDED SIMPLICIAL GROUP [PDF]
Proceedings of the London Mathematical Society, 2002 By studying the braid group action on Milnor's construction of the 1-sphere, we show that the general higher homotopy group of the 3-sphere is the fixed set of the pure braid group action on certain combinatorially described groups. This establishes a relation between the braid groups and the homotopy groups of the sphere.2000Mathematical Subject ...
openaire +3 more sources
Magnetic Textiles: A Review of Materials, Fabrication, Properties, and Applications
Advanced Materials Technologies, EarlyView.Magnetic textiles (M‐textiles) are emerging as a programmable materials platform that merges magnetic matter with hierarchical textile structures. This article consolidates magnetic material classes, textile architectures, and fabrication and magnetization strategies, revealing structure–property–function relationships that govern magneto‐mechanical ...
Li Ke +3 more
wiley +1 more source
Z2 Topological Order and Topological Protection of Majorana Fermion Qubits
Condensed Matter, 2021 The Kitaev chain model exhibits topological order that manifests as topological degeneracy, Majorana edge modes and Z2 topological invariant of the bulk spectrum.
Rukhsan Ul Haq, Louis H. Kauffman
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Concordance group and stable commutator length in braid groups
, 2014 We define a quasihomomorphism from braid groups to the concordance group of knots and examine its properties and consequences of its existence. In particular, we provide a relation between the stable four ball genus in the concordance group and the ...
Brandenbursky, Michael, Kędra, Jarek
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Advanced Robotics Research, EarlyView.A soft robotic simulator is developed to replicate the digital removal of feces (DRF), a sensitive yet essential nursing procedure. Integrating soft actuators, sensors, and a realistic rectal model, the simulator balances functional fidelity with perceptual realism. Engineering evaluations and nurse feedback confirm its potential to enhance training in
Shoko Miyagawa +10 more
wiley +1 more source
Mean-set attack: cryptanalysis of Sibert et al. authentication protocol
Journal of Mathematical Cryptology, 2010 We analyze the Sibert et al. group-based (Feige–Fiat–Shamir type) authentication protocol and show that the protocol is not computationally zero-knowledge.
Mosina Natalia, Ushakov Alexander
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Advanced Robotics Research, EarlyView.A codesign multiobjective optimization framework was developed to enhance the morphology and controller of a snake‐like robot driven by artificial muscles. It improved planar locomotion, agility, and power efficiency. The approach optimized link geometry and controller gains, revealing that shorter muscles near joints and longer linkages maximize ...
Ayla Valles, Mahdi Haghshenas‐Jaryani
wiley +1 more source
Double Affine Hecke Algebras of Rank 1 and the Z_3-Symmetric Askey-Wilson Relations
Symmetry, Integrability and Geometry: Methods and Applications, 2010 We consider the double affine Hecke algebra H=H(k_0,k_1,k_0^v,k_1^v;q) associated with the root system (C_1^v,C_1). We display three elements x, y, z in H that satisfy essentially the Z_3-symmetric Askey-Wilson relations.
Paul Terwilliger, Tatsuro Ito
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A polynomial algorithm for the braid double shielded public key cryptosystems
Қарағанды университетінің хабаршысы. Математика сериясы, 2016 We propose new provable practical deterministic polynomial time algorithm of cryptographic analysis for the braid Wang, Xu, Li, Lin and Wang «Double shielded public key cryptosystems», where the authors recommended the Artin braid groups Bn as platforms
V.A. Roman’kov
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Ising-like and Fibonacci anyons from KZ-equations
Journal of High Energy Physics, 2022 In this work we present solutions to Knizhnik-Zamolodchikov (KZ) equations corresponding to conformal block wavefunctions of non-Abelian Ising-like and Fibonacci Anyons.
Xia Gu, Babak Haghighat, Yihua Liu
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