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Organizers |
Link invariant from representation variety
by
Weiping Li
Oklahoma State University
In this talk, we show that the representation varieties of \pi1(S2 \(S2 ∩ L)) (a link L in S3) with different conjugacy classes in SU(2) along meridians are symplectic stratified varieties from the group cohomology point of view. The variety can be identified with the moduli space of s-equivalence classes of stable parabolic bundles over S2 \(S2 ∩ L) with corresponding weights along punctures, and also can be identified with the moduli space of gauge equivalence classes of SU(2)-flat connections with prescribed holonomies along punctures. We obtain an invariant of links (knots) from intersection theory on such a moduli space (a generalization of the signature of the link).
http://www.math.okstate.edu/~wli/
Date received: January 24, 2000
Copyright © 2000 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # caea-19.