The Jones representation of genus 2 at the 4th root of unity and the Torelli group

DOI10.1016/S0166-8641(01)00242-5zbMath1019.57008OpenAlexW1986673816MaRDI QIDQ1862045

Yasushi Kasahara

Publication date: 10 March 2003

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0166-8641(01)00242-5

zbMATH Keywords

mapping class groupTorelli groupJohnson homomorphismRochlin invariantJones representation

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) General low-dimensional topology (57M99) Other groups related to topology or analysis (20F38) Group actions on manifolds and cell complexes in low dimensions (57M60)

Related Items

Continuous and discrete time Zhang dynamics for time-varying 4th root finding ⋮ An expansion of the Jones representation of genus \(2\) and the Torelli group

Cites Work

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• On the structure of the Torelli group and the Casson invariant
• Casson's invariant for homology 3-spheres and characteristic classes of surface bundles. I
• On isotopies of homeomorphisms of Riemann surfaces
• A survey of the Torelli group
• Quadratic Forms and the Birman-Craggs Homomorphisms
• The μ-Invariant of 3-Manifolds and Certain Structural Properties of the Group of Homeomorphisms of a Closed, Oriented 2-Manifold
• Two Theorems on the Mapping Class Group of a Surface
• THE RESHETIKHIN-TURAEV REPRESENTATION OF THE MAPPING CLASS GROUP

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