Results 1 to 10 of about 285 (147)
Burau representation of $B_4$ and quantization of the rational projective plane [PDF]
Comptes Rendus. MathématiqueThe braid group $B_4$ naturally acts on the rational projective plane $\mathbb{P}^2(\mathbb{Q})$, this action corresponds to the classical integral reduced Burau representation of $B_4$. The first result of this paper is a classification of the orbits of
Jouteur, Perrine
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The Burau representation is unitary [PDF]
Proceedings of the American Mathematical Society, 1984 A slight modification of the Burau representation of the braid group is shown to be unitary relative to an explicitly defined Hermitian form. This gives a partial answer to the problem of identifying the image of the Burau representation and provides a ...
Craig C. Squier
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The Burau representation and shapes of polyhedra
Algebraic & Geometric Topology, 2023 We use a geometric approach to show that the reduced Burau representation specialized at roots of unity has another incarnation as the monodromy representation of a moduli space of Euclidean cone metrics on the sphere, as described by Thurston. Using the
Dlugie, Ethan
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The faithfulness question for the Burau representation [PDF]
Proceedings of the American Mathematical Society, 1993 We consider the Burau and Gassner representations of the braid groups B n {B_n} . A sufficient condition for faithfulness, involving just a pair of arcs, is shown to be necessary as well for all but at
John Moody
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Burau representation for n = 4
Journal of Knot Theory and Its Ramifications, 2018 The problem of faithfulness of the (reduced) Burau representation for [Formula: see text] is known to be equivalent to the problem of whether certain two matrices [Formula: see text] and [Formula: see text] generate a free group of rank two.
A. Beridze +3 more
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Patterns of Adaptation to Drought in Quercus robur Populations in Central European Temperate Forests. [PDF]
Glob Chang BiolWe examined drought tolerance of pedunculate oak from German populations. Our results show that trees from drier regions have greater drought tolerance, suggesting that they actively adapt to their local environment. Moreover, we observed a link between drought tolerance and the timing of spring bud burst, suggesting that adaptation to water stress may
Nosenko T +10 more
europepmc +2 more sources
, 2007 11 pagesThe Burau representation enables to define many other representations of the braid group $B_n$ by the topological operation of ``cabling braids''. We show here that these representations split into copies of the Burau representation itself and of
Marin, Ivan, Blanchet, Christian
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The Burau representation of the Braid group [PDF]
, 2020 Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2020, Director: Ricardo García López[en] This work deals with two relevant subjects of modern mathematics: representation theory and braid theory.
Revilla Bouso, Raquel
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A Garside-theoretic analysis of the Burau representations [PDF]
Journal of Knot Theory and Its Ramifications, 2017 We establish relations between both the classical and the dual Garside structures of the braid group and the Burau representation. Using the classical structure, we formulate a non-vanishing criterion for the Burau representation of the 4-strand braid ...
Matthieu Calvez, Tetsuya Ito
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Health Professionals on Cross-Sectoral Collaboration Between Mental Health Hospitals and Municipalities: A Critical Discourse Analysis. [PDF]
Nurs InqABSTRACT This study investigates the role of language in cross‐sector collaboration between mental health hospitals and municipalities, focusing on the challenges of maintaining continuity of care and integrating patient‐centered approaches. Using Fairclough's framework for critical discourse analysis, we examined focus group interviews with 21 ...
Jørgensen K +5 more
europepmc +2 more sources