most citedDehn surgery, the fundamental group and SU(2)

23 citations · 44 across the 2 of their papers we have counts for

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math.GT2003★ 23 cited

Dehn surgery, the fundamental group and SU(2)

P. B. Kronheimer, T. S. Mrowka

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 homomorphi…

math.GT2003★ 21 cited

Monopoles and lens space surgeries

Peter Kronheimer, Tomasz Mrowka, Peter Ozsvath +1

Monopole Floer homology is used to prove that real projective three-space cannot be obtained from Dehn surgery on a non-trivial knot in the three-sphere. To obtain this result, we…