Dehn surgery, the fundamental group and SU(2)

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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

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Geometric Topology, 57M25, 57R57 (Primary) 57R58 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/69625

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0312322
 http://arxiv.org/abs/math/0312322

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arXiv