On a theorem of V. I. arnol'd
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Publication:5576807
DOI10.1002/cpa.3160220508zbMath0184.49001OpenAlexW1991803702MaRDI QIDQ5576807
Publication date: 1969
Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/cpa.3160220508
Artin's braid grouprepresentation as subgroup of the symplectic group of \(2g\) by \(2g\) matrices with integral element
Braid groups; Artin groups (20F36) Coverings of curves, fundamental group (14H30) Riemann surfaces (30F99)
Related Items (21)
A note on the normal subgroups of mapping class groups ⋮ The Burau Representation is Unitary ⋮ TOWARDS AN IMPLEMENTATION OF THE B–H ALGORITHM FOR RECOGNIZING THE UNKNOT ⋮ A presentation for the image of Burau\((4)\otimes Z_2\) ⋮ Weak faithfulness properties for the Burau representation ⋮ Cohomology of the hyperelliptic Torelli group ⋮ Generalisations of Hecke algebras from loop braid groups ⋮ Braid groups and symplectic Steinberg groups ⋮ On the basis-conjugating automorphism groups of free groups and free metabelian groups ⋮ Artin braids and the groups and spaces connected with them ⋮ Discriminant complements and kernels of monodromy representations ⋮ Burau representation for n = 4 ⋮ The level four braid group ⋮ Hurwitz spaces and braid group representations ⋮ The Hurwitz monodromy group ⋮ On the Burau representation of B4 ⋮ The kernel of the Magnus representation of the automorphism group of a free group is not finitely generated ⋮ ON AN ACTION OF THE BRAID GROUP B2g+2ON THE FREE GROUP F2g ⋮ Matrix Representations of Artin Groups ⋮ Generators for the hyperelliptic Torelli group and the kernel of the Burau representation at \(t=-1\) ⋮ A Garside-theoretic analysis of the Burau representations
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