Dehn surgery, the fundamental group and SU(2)

Abstract

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.

15 pages

References in corpus (1)

• Monopoles and lens space surgeries

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