The normal closure of a power of a half-twist has infinite index in the mapping class group of a punctured sphere

DOI10.1142/S1793525319500122zbMath1494.20048arXiv1511.02912OpenAlexW2963237403MaRDI QIDQ4968726

Charalampos Stylianakis

Publication date: 9 July 2019

Published in: Journal of Topology and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.02912

zbMATH Keywords

mapping class groupbraid groupJones representationHecke algebra representationhyper elliptic mapping class group

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Braid groups; Artin groups (20F36) Topological methods in group theory (57M07)

Related Items (3)

Notes on hyperelliptic mapping class groups ⋮ ON POWERS OF HALF-TWISTS IN M(0, 2n) ⋮ Retraction of: ``Linear representations of hyperelliptic mapping class groups

Cites Work

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• The Hodge theory of Soergel bimodules.
• The level four braid group
• Hecke algebra representations of braid groups and link polynomials
• Representations of Coxeter groups and Hecke algebras
• On the TQFT representations of the mapping class groups
• Combinatorics of Coxeter Groups
• Free subgroups within the images of quantum representations
• Normal closures of powers of Dehn twists in mapping class groups
• ON POWERS OF HALF-TWISTS IN M(0, 2n)
• AN EXPANSION OF THE JONES REPRESENTATION OF GENUS 2 AND THE TORELLI GROUP II
• Braid Groups

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