SL(2)-solution of the pentagon equation and invariants of three-dimensional manifolds
Algebraic Topology
2009-11-10 v1
Abstract
Building on a classical solution to the pentagon equation, constructed earlier by the author and E.V. Martyushev and related to the flat geometry invariant under the group SL(2), we construct an algebraic complex corresponding to a triangulation of a three-manifold. In case if this complex is acyclic (which is confirmed by examples), we use it for constructing a manifold invariant .
Cite
@article{arxiv.math/0304149,
title = {SL(2)-solution of the pentagon equation and invariants of three-dimensional manifolds},
author = {I. G. Korepanov},
journal= {arXiv preprint arXiv:math/0304149},
year = {2009}
}
Comments
13 pages; accepted for publication in Theor. Math. Phys