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

• Autorzy: Alexis Virelizier
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 57M27: Invariants of knots and 3-manifolds

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2005
• Tom: 188
• Numer: 1
• Strony: 241-270

Daty

wydano

2005

Twórcy

autor

Alexis Virelizier

• Department of Mathematics, University of California, Berkeley, CA 94720-3840, U.S.A.

Identyfikatory

DOI

10.4064/fm188-0-11