A+ CATEGORY SCIENTIFIC UNIT

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

Volume 188 / 2005

Alexis Virelizier Fundamenta Mathematicae 188 (2005), 241-270 MSC: 57M27, 16W30. DOI: 10.4064/fm188-0-11

Abstract

Given a group $\pi$, we use involutory Hopf $\pi$-coalgebras to define a scalar invariant of flat $\pi$-bundles over 3-manifolds. When $\pi=1$, 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.

Authors

  • Alexis VirelizierDepartment of Mathematics
    University of California
    Berkeley, CA 94720-3840, U.S.A.
    e-mail

Search for IMPAN publications

Query phrase too short. Type at least 4 characters.

Rewrite code from the image

Reload image

Reload image