Topological Quantum Field Theory and the Nielsen-thurston Classification of M (0, 4)

@inproceedings{Andersen1988TopologicalQF,
  title={Topological Quantum Field Theory and the Nielsen-thurston Classification of M (0, 4)},
  author={J\orgen Ellegaard Andersen and Gregor Masbaum and Kenji Ueno},
  year={1988}
}
We show that the Nielsen-Thurston classification of mapping classes of the sphere with four marked points is determined by the quantum SU(n) representations, for any fixed n ≥ 2. In the Pseudo-Anosov case we also show that the stretching factor is a limit of eigenvalues of (non-unitary) SU(2)TQFT representation matrices. It follows that at big enough levels, PseudoAnosov mapping classes are represented by matrices of infinite order. 
Highly Cited
This paper has 17 citations. REVIEW CITATIONS

From This Paper

Figures, tables, results, connections, and topics extracted from this paper.
11 Extracted Citations
12 Extracted References
Similar Papers

Referenced Papers

Publications referenced by this paper.
Showing 1-10 of 12 references

Flat connections and geometric quantization. Comm.Math.Phys

  • N. Hitchin
  • 1990

Invariants of 3 - manifolds via link polynomials and quantum groups

  • V. Turaev
  • Comm . Math . Phys .
  • 1990

Ribbon graphs and their invariants derived from quantum groups

  • N. Reshetikhin, V. Turaev
  • Comm. Math. Phys
  • 1990

Conformal Field Theory and the Braid Group

  • Y. Kanie
  • Bulletin of the Faculty of Education Mie…
  • 1989

Conformal Field Theory on Universal Family of Stable Curves with Gauge Symmetries

  • A. Tsuchiya, K. Ueno, Y. Yamada
  • Advanced Studies in Pure Mathematics
  • 1989

A construction of Pseudo-Anosov Homeomorphisms

  • R. Penner
  • Transactions of the American Mathematical Society…
  • 1988

Vertex Operators in Conformal Field Theory on P1 and Monodromy Representations of Braid Group, Advanced Studies

  • A. Tsuchiya, Y. Kanie
  • Pure Mathematics 16,
  • 1988

Braids of periodic points and a 2-dimensional analogue of Sharkovskii’s ordering

  • T. Matsuoka
  • Dynamical Systems and Nonlinear Oscillations
  • 1986

Matsuoka Braids of periodic points and a 2 - dimensional analogue of Sharkovskii ’ s ordering

  • Y. Laszlo.
  • Dynamical Systems and Nonlinear Oscillations
  • 1986

Travaux de Thurston sur les surfaces

  • F. Laudenbach, V. Poénaru
  • Astérisque
  • 1979

Similar Papers

Loading similar papers…