Quantum invariants of periodic three-manifolds

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.

19 pages. Published copy, also available at http://www.maths.warwick.ac.uk/gt/GTMon2/paper9.abs.html

References in corpus (2)

• Invariants for 1-dimensional cohomology classes arising from TQFT
• Skein theory and Witten-Reshetikhin-Turaev Invariants of links in lens spaces

Cited by in corpus (7)

• 3-manifold invariants and periodicity of homology spheres
• Quantum Invariants of Periodic Links and Periodic 3-Manifolds
• Integrality for TQFTs
• Quantum invariants and free Z_{p^2} -actions on 3-manifolds
• Quantum invariants and finite group actions on three-manifolds
• The Casson-Walker-Lescop invariant of periodic three-manifolds
• Periodic 3-Manifolds and Modular Categories