Quantum invariants of periodic three-manifolds
Geometric Topology
2015-12-22 v3 Quantum Algebra
Abstract
Let p be an odd prime and r be relatively prime to p. Let G be a finite p-group. Suppose an oriented 3-manifold M-tilde has a free G-action with orbit space M. We consider certain Witten-Reshetikhin-Turaev SU(2) invariants w_r(M). We will give a fomula for w_r(M) in terms of the defect of M-tilde --> M and the number of elements in G. We also give a version of this result if M and M-tilde contain framed links or colored fat graphs. We give similar formulas for non-free actions which hold for a specified finite set of values for r.
Keywords
Cite
@article{arxiv.math/9902122,
title = {Quantum invariants of periodic three-manifolds},
author = {Patrick M. Gilmer},
journal= {arXiv preprint arXiv:math/9902122},
year = {2015}
}
Comments
19 pages. Published copy, also available at http://www.maths.warwick.ac.uk/gt/GTMon2/paper9.abs.html