All finite groups are involved in the mapping class group

DOI10.2140/gt.2012.16.1393zbMath1254.57018arXiv1106.4261OpenAlexW3105123864WikidataQ57254102 ScholiaQ57254102MaRDI QIDQ441120

Alan W. Reid, Gregor Masbaum

Publication date: 20 August 2012

Published in: Geometry \& Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.4261

zbMATH Keywords

unitary representationmapping class groupfinite groupTQFTinvolvedTopological Quantum Field Theory

Mathematics Subject Classification ID

General low-dimensional topology (57M99) Topological methods in group theory (57M07) Topological quantum field theories (aspects of differential topology) (57R56) Other groups related to topology or analysis (20F38)

Related Items

Frattini and related subgroups of mapping class groups ⋮ Profinite completions of Burnside-type quotients of surface groups ⋮ Cosets of monodromies and quantum representations ⋮ Irreducible factors of modular representations of mapping class groups arising in integral TQFT ⋮ Arithmetic quotients of the mapping class group ⋮ Applications of quantum representations of mapping class groups ⋮ Fixed points, local monodromy, and incompressibility of congruence covers ⋮ IMAGES OF QUANTUM REPRESENTATIONS OF MAPPING CLASS GROUPS AND DUPONT–GUICHARDET–WIGNER QUASI-HOMOMORPHISMS ⋮ Vastness properties of automorphism groups of RAAGs ⋮ Three perfect mapping class groups ⋮ Quotients of mapping class groups from 𝑂𝑢𝑡(𝐹_{𝑛})

Cites Work

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• Quantum invariants of random 3-manifolds
• Prym representations of mapping class groups
• Arithmetic subgroups of algebraic groups
• The structure of the Torelli group. I: A finite set of generators for \({\mathcal I}\)
• Separable subgroups of mapping class groups
• Finite covers of random 3-manifolds
• Linear representations of the automorphism group of a free group.
• Strong approximation for Zariski-dense subgroups of semi-simple algebraic groups
• On subgroups of \(GL_ n(F_ p)\)
• On a remarkable class of polyhedra in complex hyperbolic space
• The Torelli groups for genus 2 and 3 surfaces
• The Bianchi groups are separable on geometrically finite subgroups.
• Subgroup growth.
• Integral bases for TQFT modules and unimodular representations of mapping class groups
• On central extensions of mapping class groups
• Topological quantum field theories derived from the Kauffman bracket
• Invariants of 3-manifolds via link polynomials and quantum groups
• Density of the \(\text{SO}(3)\) TQFT representation of mapping class groups
• Arithmetic of Hermitian forms
• Arithmetic of unitary groups
• Solution of the congruence subgroup problem for \(\text{SL}_ n\) \((n\geq 3)\) and \(\text{Sp}_{2n}\) \((n\geq 2)\)
• Complements à l'article: Groupes reductifs
• Compact Clifford-Klein forms of symmetric spaces
• Maslov index, lagrangians, mapping class groups and TQFT
• On the Residual Finiteness of Certain Mapping Class Groups
• Finite Quotients of the Automorphism Group of a Free Group
• Zariski Density and Finite Quotients of Mapping Class Groups
• Hyperplane sections in arithmetic hyperbolic manifolds
• Finite index subgroups of mapping class groups
• Integral lattices in TQFT
• RINGS OF DEFINITION OF DENSE SUBGROUPS OF SEMISIMPLE LINEAR GROUPS

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