Involutory Hopf group-coalgebras and flat bundles over 3-manifolds
Fundamenta Mathematicae (2005)
- Volume: 188, Issue: 1, page 241-270
- ISSN: 0016-2736
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topAlexis Virelizier. "Involutory Hopf group-coalgebras and flat bundles over 3-manifolds." Fundamenta Mathematicae 188.1 (2005): 241-270. <http://eudml.org/doc/283272>.
@article{AlexisVirelizier2005,
abstract = {Given a group π, we use involutory Hopf π-coalgebras to define a scalar invariant of flat π-bundles over 3-manifolds. When π = 1, this invariant equals the one for 3-manifolds constructed by Kuperberg from involutory Hopf algebras. We give examples which show that this invariant is non-trivial.},
author = {Alexis Virelizier},
journal = {Fundamenta Mathematicae},
keywords = {Hopf algebra; Heegaard splitting; Kuperberg invariant},
language = {eng},
number = {1},
pages = {241-270},
title = {Involutory Hopf group-coalgebras and flat bundles over 3-manifolds},
url = {http://eudml.org/doc/283272},
volume = {188},
year = {2005},
}
TY - JOUR
AU - Alexis Virelizier
TI - Involutory Hopf group-coalgebras and flat bundles over 3-manifolds
JO - Fundamenta Mathematicae
PY - 2005
VL - 188
IS - 1
SP - 241
EP - 270
AB - Given a group π, we use involutory Hopf π-coalgebras to define a scalar invariant of flat π-bundles over 3-manifolds. When π = 1, this invariant equals the one for 3-manifolds constructed by Kuperberg from involutory Hopf algebras. We give examples which show that this invariant is non-trivial.
LA - eng
KW - Hopf algebra; Heegaard splitting; Kuperberg invariant
UR - http://eudml.org/doc/283272
ER -
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