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Cosets of monodromies and quantum representations (Q5093771)

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scientific article; zbMATH DE number 7565546

Language	Label	Description	Also known as
English	Cosets of monodromies and quantum representations	scientific article; zbMATH DE number 7565546

Statements

scholarly article

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Cosets of monodromies and quantum representations (English)

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Renaud Detcherry

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Efstratia Kalfagianni

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Indiana University Mathematics Journal

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publication date

1 August 2022

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full work available at URL

https://arxiv.org/abs/2001.04518

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zbMATH Keywords

mapping class groups

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open book decomposition

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quantum representation

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MaRDI profile type

MaRDI publication profile

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Asymptotic faithfulness of the quantum \(\text{SU}(n)\) representations of the mapping class groups

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The Nielsen-Thurston classification of mapping classes is determined by TQFT

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Topological Quantum Field Theory and the Nielsen–Thurston classification of $M(0,4)$

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Abelian and solvable subgroups of the mapping class group

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Stabilizing the monodromy of an open book decomposition

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3-manifolds efficiently bound 4-manifolds

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Growth of Turaev–Viro invariants and cabling

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Quantum representations and monodromies of fibered links

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Turaev-Viro invariants, colored Jones polynomials, and volume

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The homological content of the Jones representations at q = −1

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Dehn filling, volume, and the Jones polynomial

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Links with no exceptional surgeries

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An application of TQFT to modular representation theory

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Groups generated by positive multi-twists and the fake lantern problem

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On the stable equivalence of open books in three-manifolds

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How to construct all fibered knots and links

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Quotients of surface groups and homology of finite covers via quantum representations

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All finite groups are involved in the mapping class group

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Geometry of the complex of curves. I: Hyperbolicity

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A "Tits-Alternative" for Subgroups of Surface Mapping Class Groups

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Homology Cobordisms, Link Concordances, and Hyperbolic 3-Manifolds

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On the asymptotic expansion of the quantum SU(2) invariant at \(q =exp(4{\pi}\sqrt{-1}/N\)) for closed hyperbolic 3-manifolds obtained by integral surgery along the figure-eight knot

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Invariants of 3-manifolds via link polynomials and quantum groups

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LIMITS OF THE QUANTUM SO(3) REPRESENTATIONS FOR THE ONE-HOLED TORUS

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Action of M(0,2n) on some kernel spaces coming from SU (2)-TQFT

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1512/IUMJ.2022.71.8971

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Sitelinks

Mathematics(1 entry)

mardi Publication:5093771

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