Involutory Hopf group-coalgebras and flat bundles over 3-manifolds

Details Involutory Hopf group-coalgebras and flat bundles over 3-manifolds Involutory Hopf group-coalgebras and flat bundles over 3-manifolds

2002-06-24

arxiv.org/abs/math/0206254v1

Mathematics

Geometric Topology

26 pages

Scientific paper

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.

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