The Quantum Content of the Gluing Equations

  title={The Quantum Content of the Gluing Equations},
  author={Tudor Dan Dimofte and Stavros Garoufalidis},
The gluing equations of a cusped hyperbolic 3-manifold M are a system of polynomial equations in the shapes of an ideal triangulation T of M that describe the complete hyperbolic structure of M and its deformations. Given a Neumann-Zagier datum (comprising the shapes together with the gluing equations in a particular canonical form) we define a formal power series with coefficients in the invariant trace field of M that should (a) agree with the asymptotic expansion of the Kashaev invariant to… CONTINUE READING


Publications referenced by this paper.
Showing 1-10 of 54 references

Quantum Riemann surfaces in Chern-Simons theory

  • Tudor Dimofte
  • arXiv:1102.4847, Preprint
  • 2011
Highly Influential
10 Excerpts

Asymptotics of quantum knot invariants

  • Stavros Garoufalidis, Don Zagier
  • Preprint
  • 2013

A TQFT from quantum Teichmller theory

  • Jørgen Ellegaard Andersen, Rinat Kashaev
  • arXiv: 1109.6295, Preprint
  • 2011
2 Excerpts

Invariants of spectral curves and intersection theory of moduli spaces of complex curves

  • Bertrand Eynard
  • arXiv:1110.2949, Preprint
  • 2011
1 Excerpt

Triangulations of hyperbolic 3manifolds admitting strict angle structures

  • Craid D. Hodgson, J. Hyam Rubinstein, Henry Segerman
  • arXiv:1111.3168, Preprint
  • 2011
1 Excerpt

and quantization

  • Sergei Gukov, Piotr Sulkowski, A-polynomial, B-model
  • arXiv:1108.0002, Preprint
  • 2011


  • V. P. Spiridonov, G. S. Vartanov, Elliptic hypergeometry of supersymmetric dualities II. orth groups
  • and vortices, arXiv:1107.5788, Preprint
  • 2011
1 Excerpt

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