Braids and Signatures

DOI10.24033/bsmf.2496zbMath1103.57001OpenAlexW2503435930MaRDI QIDQ5487889

Étienne Ghys, Jean-Marc Gambaudo

Publication date: 13 September 2006

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.24033/bsmf.2496

zbMATH Keywords

signatureknotslinksMaslov classMeyer cocycle

Mathematics Subject Classification ID

Related Items (31)

Knot graphs and Gromov hyperbolicity ⋮ Criteria of prime links in terms of pseudo-characters ⋮ A note on the four-dimensional clasp number of knots ⋮ On cobordisms between knots, braid index, and the upsilon-invariant ⋮ Coloured tangles and signatures ⋮ Slopes and signatures of links ⋮ Coloring link diagrams and Conway-type polynomial of braids ⋮ Transformation formulas for pseudo-characters of braid groups. ⋮ The homomorphism defect of an extended Levine–Tristram signature via twisted homology ⋮ Braid groups and symplectic Steinberg groups ⋮ Reeb vector fields and open book decompositions ⋮ 3-braid knots with maximal 4-genus ⋮ IMAGES OF QUANTUM REPRESENTATIONS OF MAPPING CLASS GROUPS AND DUPONT–GUICHARDET–WIGNER QUASI-HOMOMORPHISMS ⋮ Gordian adjacency for torus knots ⋮ Algorithmic recognition of quasipositive braids of algebraic length two. ⋮ Right-veering diffeomorphisms of compact surfaces with boundary. II. ⋮ The level four braid group ⋮ Gromov hyperbolicity and a variation of the Gordian complex ⋮ A link invariant with values in the Witt ring ⋮ Pseudocharacters of braid groups and prime links ⋮ Operators in the spaces of pseudocharacters of braid groups ⋮ Mapping class group and the Casson invariant. ⋮ Symmetric quotients of knot groups and a filtration of the Gordian graph ⋮ The Levine-Tristram signature: a survey ⋮ ON QUASI-MORPHISMS FROM KNOT AND BRAID INVARIANTS ⋮ Congruence subgroups of braid groups ⋮ Quotients of the Gordian and H(2)-Gordian graphs ⋮ On independence of some pseudocharacters on braid groups ⋮ Generators for the hyperelliptic Torelli group and the kernel of the Burau representation at \(t=-1\) ⋮ On a structure of random open books and closed braids ⋮ Congruence subgroups of braid groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A cocycle for the symplectic first Chern class and the Maslov index
• The logarithm of the Dedekind \(\eta\)-function
• Metaplectic link invariants
• Euler and Maslov cocycles
• On the intersection ring of compact three manifolds
• The index of elliptic operators. III
• Non-additivity of the signature
• Die Signatur von Flächenbündeln
• The Burau Representation is Unitary
• On Knots. (AM-115)
• On closed 3-braids
• Commutators and diffeomorphisms of surfaces

This page was built for publication: Braids and Signatures