ON THE IMAGE OF THE LAWRENCE–KRAMMER REPRESENTATION

DOI10.1142/S0218216505004044zbMath1079.20052arXivmath/0202246WikidataQ56003615 ScholiaQ56003615MaRDI QIDQ5709036

Ryan D. Budney

Publication date: 21 November 2005

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0202246

zbMATH Keywords

braid groupsunitary representationsLawrence-Krammer representation

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Braid groups; Artin groups (20F36) Topological methods in group theory (57M07)

Related Items (6)

Non-conjugate braids with the same closure link from density of representations ⋮ Discrete real specializations of sesquilinear representations of the braid groups ⋮ Another proof of the faithfulness of the Lawrence-Krammer representation of the braid group \(B_3\). ⋮ A right-invariant lattice-order on groups of paraunitary matrices ⋮ A homological definition of the HOMFLY polynomial ⋮ On the generic Krammer representations.

Cites Work

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• Differential Topology
• A faithfulness criterion for the Gassner representation of the pure braid group
• Braid groups are linear
• The mapping class group of a genus two surface is linear

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