On the Seifert fibered space link group

Abstract

We introduce generalized arrow diagrams and generalized Reidemeister moves for diagrams of links in Seifert fibered spaces. We give a presentation of the fundamental group of the link complement. As a corollary we are able to compute the first homology group of the complement and the twisted Alexander polynomials of the link.

30 pages, 12 figures

References in corpus (1)

• KBSM of the product of a disk with two holes and S^{1}

Cited by in corpus (5)

• Link diagrams in Seifert manifolds and applications to skein modules
• Rack invariants of links in $L(p,1)$
• On the Alexander polynomial of links in lens spaces
• On the KBSM of links in lens spaces
• Links in the spherical 3-manifold obtained from the quaternion group and their lifts