|
|||||
|
|
Modified 6j-symbols and 3-manifold invariants |
|
| Authors: | Nathan Geer Bertrand Patureau-Mirand Vladimir Turaev |
| Institution: | aMax-Planck-Institut für Mathematik, Vivatsgasse 7, 53111 Bonn, Germany;bDepartment of Mathematics & Statistics, Utah State University, Logan, UT 84322, USA;cL.M.A.M. – Université Européenne de Bretagne, Université de Bretagne-Sud, BP 573, F-56017 Vannes, France;dDepartment of Mathematics, Indiana University, Rawles Hall, 831 East 3rd St, Bloomington, IN 47405, USA |
| Abstract: | We show that the renormalized quantum invariants of links and graphs in the 3-sphere, derived from tensor categories in Geer et al. (2009) 14], lead to modified 6j-symbols and to new state sum 3-manifold invariants. We give examples of categories such that the associated standard Turaev–Viro 3-manifold invariants vanish but the secondary invariants may be non-zero. The categories in these examples are pivotal categories which are neither ribbon nor semi-simple and have an infinite number of simple objects. |
| Keywords: | 3-Manifold Knot Lie algebra Tensor category Volume conjecture Quantum group |
| 本文献已被 ScienceDirect 等数据库收录！ | |