Representations of motion groups of links via dimension reduction of TQFTs

DOI10.1007/s00220-021-03991-6zbMath1461.81117arXiv2002.07642OpenAlexW3006127167MaRDI QIDQ2662877

Yang Qiu, Zhenghan Wang

Publication date: 15 April 2021

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.07642

zbMATH Keywords

wisted generalization of Dijkgraaf-Witten theories

Mathematics Subject Classification ID

Braid groups; Artin groups (20F36) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Spinor and twistor methods applied to problems in quantum theory (81R25) Topological field theories in quantum mechanics (81T45) Dimensional compactification in quantum field theory (81T33) Higher-dimensional knots and links (57K45)

Related Items (2)

Generalisations of Hecke algebras from loop braid groups ⋮ Motion groupoids and mapping class groupoids

Cites Work

• Unnamed Item
• On Dijkgraaf-Witten invariant for 3-manifolds
• Exotic statistics for strings in 4d BF theory
• LOCAL REPRESENTATIONS OF THE LOOP BRAID GROUP
• Motion of links in the 3-sphere.
• Representations of SL (2, p)
• Mathematics of topological quantum computing
• The Character Tables for SL(3, q), SU(3, q²), PSL(3, q), PSU(3, q²)
• Quantum invariants of knots and 3-manifolds

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