A story of resilience: Arctic diatom Chaetoceros gelidus exhibited high physiological plasticity to changing CO2 and light levels. [PDF]
Front Plant Sci, 2022 Biswas H.
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The faithfulness question for the Burau representation
, 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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Topological braiding and virtual particles on the cell membrane. [PDF]
Proc Natl Acad Sci U S A, 2021 Liu J +6 more
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Biochar-based fertilizers and their applications in plant growth promotion and protection. [PDF]
3 Biotech, 2022 Agarwal H +5 more
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Loss of plasticity in maturation timing after ten years of captive spawning in a delta smelt conservation hatchery. [PDF]
Evol Appl, 2023 LaCava MEF +5 more
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Some remarks about the faithfulness of the Burau representation of Artin--Tits groups [PDF]
We discuss the extension of the faithfulness question for the Burau representation of braid groups to the case of Artin--Tits groups. We prove that the Burau representation is not faithful in affine type $\tilde{A_3}$, and not faithful over several ...
Bapat, Asilata, Queffelec, Hoel
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4-Strand Burau is Unfaithful Modulo 5
, 2023 We introduce a new algorithm for finding kernel elements in the Burau representation. Our algorithm applies reservoir sampling to a statistic on matrices which is closely correlated with Garside length. Using this we exhibit an explicit kernel element in
Williamson, Geordie +2 more
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Burau Maps and Twisted Alexander Polynomials
, 2018 The Burau representation of the braid group can be used to recover the Alexander polynomial of the closure of a braid. We define twisted Burau maps and use them to compute twisted Alexander polynomials.
Anthony Conway
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Proportional representation review
, 1914 Includes supplements.Includes supplements.Mode of access: Internet.Organ of the Proportional Representation League (called, 1914-1920, American Proportional Representation League).The Proportional representation review (v. 1-3) was issued in Chicago from
American Proportional Representation League. +1 more
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A Garside-theoretic analysis of the Burau representations
, 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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