Journal article
The quantum content of the normal surfaces in a three-manifold
Journal of knot theory and its ramifications, Vol.17(8), pp.1005-1033
2008
DOI: 10.1142/S021821650800649X
Abstract
The formula for the Turaev–Viro invariant of a three-manifold depends on a complex parameter t. When t is not a root of unity, the formula becomes an infinite sum. This paper analyzes convergence of this sum when t does not lie on the unit circle, in the presence of an efficient triangulation of the three-manifold. The terms of the sum can be indexed by surfaces lying in the three-manifold. The contribution of a surface is largest when the surface is normal and when its genus is the lowest.
Details
- Title: Subtitle
- The quantum content of the normal surfaces in a three-manifold
- Creators
- Charles FrohmanJoanna Kania-Bartoszynska
- Resource Type
- Journal article
- Publication Details
- Journal of knot theory and its ramifications, Vol.17(8), pp.1005-1033
- DOI
- 10.1142/S021821650800649X
- ISSN
- 0218-2165
- eISSN
- 1793-6527
- Language
- English
- Date published
- 2008
- Academic Unit
- Mathematics
- Record Identifier
- 9983985943402771
Metrics
25 Record Views