Strong Integrality of Quantum Invariants of 3-manifolds

Details Strong Integrality of Quantum Invariants of 3-manifolds Strong Integrality of Quantum Invariants of 3-manifolds

2005-12-19

arxiv.org/abs/math/0512433v2

Mathematics

Geometric Topology

19 pages. Minor typos corrected

Scientific paper

We prove that the quantum SO(3)-invariant of an arbitrary 3-manifold $M$ is always an algebraic integer, if the order of the quantum parameter is co-prime with the order of the torsion part of $H_1(M,\BZ)$. An even stronger integrality, known as cyclotomic integrality, was established by Habiro for integral homology 3-spheres. Here we generalize Habiro's result to all rational homology 3-spheres.

Affiliated with

Also associated with

No associations

Rating

Strong Integrality of Quantum Invariants of 3-manifolds 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 Strong Integrality of Quantum Invariants of 3-manifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Strong Integrality of Quantum Invariants of 3-manifolds will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-281486