A journey through loop braid groups

DOI10.1016/j.exmath.2016.12.003zbMath1403.20052arXiv1605.02323OpenAlexW2963882728MaRDI QIDQ2403621

Celeste Damiani

Publication date: 11 September 2017

Published in: Expositiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.02323

zbMATH Keywords

braid groupswelded braid groupsloop braid groups

Mathematics Subject Classification ID

Braid groups; Artin groups (20F36)

Related Items

Idempotents, free products and quandle coverings, Extensions of some classical local moves on knot diagrams, Twisted Alexander invariants for the braid group associated with the Tong–Yang–Ma representation, The Burau representations of loop braid groups, Unrestricted virtual braids and crystallographic braid groups, Commutator subgroups of singular braid groups, Generalisations of Hecke algebras from loop braid groups, Extensions of the Tong-Yang-Ma representation, Motion groupoids and mapping class groupoids, Virtual braid groups, virtual twin groups and crystallographic groups, Unnamed Item, Commutator subgroups of virtual and welded braid groups, Representations of the loop braid groups from braided tensor categories, Symmetric automorphisms of free groups, BNSR-invariants, and finiteness properties, Commutator subgroups of welded braid groups, A Markov's theorem for extended welded braids and links, On a canonical lift of Artin's representation to loop braid groups, A note on representations of welded braid groups, CONJUGATING AUTOMORPHISMS OF GRAPH PRODUCTS: KAZHDAN’S PROPERTY (T) AND SQ-UNIVERSALITY, Knotted surfaces as vanishing sets of polynomials, Commensurability invariance for abelian splittings of right-angled Artin groups, braid groups and loop braid groups, On the group of ring motions of an H-trivial link, Chen ranks and resonance varieties of the upper McCool groups

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