Mathematics – Geometric Topology
Scientific paper
2011-01-10
Mathematics
Geometric Topology
44 pages, 22 figures
Scientific paper
We show that the link invariants derived from 3-dimensional quantum hyperbolic geometry can be defined by means of planar state sums based on link diagrams and a new family of enhanced Yang-Baxteroperators (YBO) that we compute explicitly. By a local comparison of the respective YBO's we show that these invariants coincide with the Kashaev specializations of the colored Jones polynomials. As a further application we disprove a conjecture about the semi-classical limits of quantum hyperbolic partition functions, by showing that it conflicts with the existence of hyperbolic links that verify the volume conjecture.
Baseilhac Stephane
Benedetti Riccardo
No associations
LandOfFree
The Kashaev and quantum hyperbolic link invariants 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 The Kashaev and quantum hyperbolic link invariants, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Kashaev and quantum hyperbolic link invariants will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-456693