Involutory Hopf group-coalgebras and flat bundles over 3-manifolds
Geometric Topology
2007-05-23 v1 Quantum Algebra
Abstract
Given a group G, we use involutary Hopf G-coalgebras to define a scalar invariant of flat G-bundles over 3-manifolds. When G=1, this invariant equals to the one of 3-manifolds constructed by Kuperberg from involutary Hopf algebras. We give examples which show that this invariant is not trivial.
Keywords
Cite
@article{arxiv.math/0206254,
title = {Involutory Hopf group-coalgebras and flat bundles over 3-manifolds},
author = {Alexis Virelizier},
journal= {arXiv preprint arXiv:math/0206254},
year = {2007}
}
Comments
26 pages