Free subgroups within the images of quantum representations
-
Louis Funar
und
Toshitake Kohno
Abstract
We prove that, except for a few explicit roots of unity, the quantum image of any Johnson subgroup of the mapping class group contains an explicit free non-abelian subgroup.
Funding source: Grant-in-Aid for Scientific Research (Japan Society for Promotion of Science)
Award Identifier / Grant number: 23340014
Funding source: World Premier International Research Center Initiative
Award Identifier / Grant number: MEXT
We are grateful to Jørgen Andersen, Greg Kuperberg, Greg McShane and Gregor Masbaum for useful discussions and to Ian Agol for pointing out a gap in the previous version of this paper. A part of this work was accomplished while the second author was staying at Institut Fourier in Grenoble. He would like to thank Institut Fourier for hospitality.
© 2015 by De Gruyter
Artikel in diesem Heft
- Frontmatter
- Centralizer of an idempotent in a reductive monoid
- Free subgroups within the images of quantum representations
- The Bergman property for endomorphism monoids of some Fraïssé limits
- Boundary value problems for heat equation with certain potentials in Lipschitz cylinders
- On some multiplicity and mixed multiplicity formulas
- Free group algebras in Malcev–Neumann skew fields of fractions
- Decomposition theorems for QK spaces and applications
- Ideals of generalized invariants, local cohomology and Macaulay's double duality theorem
- The distribution of the logarithm in an orthogonal and a symplectic family of L-functions
- On seven-dimensional quaternionic contact solvable Lie groups
- Weitzenböck derivations of nilpotency 3
- Unital associahedra
- On the norm of the Lp-Fourier transform on compact extensions of ℝn
- On the existence of semifields of order q8 admitting elementary abelian groups of order 8
Artikel in diesem Heft
- Frontmatter
- Centralizer of an idempotent in a reductive monoid
- Free subgroups within the images of quantum representations
- The Bergman property for endomorphism monoids of some Fraïssé limits
- Boundary value problems for heat equation with certain potentials in Lipschitz cylinders
- On some multiplicity and mixed multiplicity formulas
- Free group algebras in Malcev–Neumann skew fields of fractions
- Decomposition theorems for QK spaces and applications
- Ideals of generalized invariants, local cohomology and Macaulay's double duality theorem
- The distribution of the logarithm in an orthogonal and a symplectic family of L-functions
- On seven-dimensional quaternionic contact solvable Lie groups
- Weitzenböck derivations of nilpotency 3
- Unital associahedra
- On the norm of the Lp-Fourier transform on compact extensions of ℝn
- On the existence of semifields of order q8 admitting elementary abelian groups of order 8
