Mathematics – Geometric Topology
Scientific paper
2009-07-06
Mathematics
Geometric Topology
New set of generators for the braid group in Section 2
Scientific paper
We define an integer valued invariant for two-component links in S^3 by counting projective SU(2) representations of the link group having non-trivial second Stiefel-Whitney class. We show that our invariant is, up to sign, the linking number of the link. Our construction generalizes that of X.-S. Lin who defined a similar invariant for knots in S^3; his invariant equals half the knot signature.
Harper Eric
Saveliev Nikolai
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