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arXiv:math/0312322 [math.GT]AbstractReferencesReviewsResources

Dehn surgery, the fundamental group and SU(2)

P. B. Kronheimer, T. S. Mrowka

Published 2003-12-17Version 1

Let K be a non-trivial knot in the 3-sphere and let Y(r) be the 3-manifold obtained by surgery on K with surgery-coefficient a rational number r. We show that there is a homomorphism from the fundamental group of Y(r) to SU(2) with non-cyclic image if r is less than or equal to 2.

Comments: 15 pages
Categories: math.GT
Subjects: 57M25, 57R57, 57R58
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