On the Quantum Invariant for the Spherical Seifert Manifold

Details On the Quantum Invariant for the Spherical Seifert Manifold On the Quantum Invariant for the Spherical Seifert Manifold

2005-04-28

arxiv.org/abs/math-ph/0504082v2

Commun. Math. Phys. 268, 285--319 (2006)

Physics

Mathematical Physics

36 pages

Scientific paper

10.1007/s00220-006-0094-1

We study the Witten--Reshetikhin--Turaev SU(2) invariant for the Seifert manifold $S^3/\Gamma$ where $\Gamma$ is a finite subgroup of SU(2). We show that the WRT invariants can be written in terms of the Eichler integral of the modular forms with half-integral weight, and we give an exact asymptotic expansion of the invariants by use of the nearly modular property of the Eichler integral. We further discuss that those modular forms have a direct connection with the polyhedral group by showing that the invariant polynomials of modular forms satisfy the polyhedral equations associated to $\Gamma$.

Affiliated with

Also associated with

No associations

Rating

On the Quantum Invariant for the Spherical Seifert Manifold does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the Quantum Invariant for the Spherical Seifert Manifold, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the Quantum Invariant for the Spherical Seifert Manifold will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-715610