38 citations · 85 across the 4 of their papers we have counts for
4 papers
A hyperkahler structure on the cotangent bundle of a complex Lie group
P. B. Kronheimer
Let G be compact Lie group. It is shown that the cotangent bundle of the complexification of G admits a hyperkahler structure which is invariant under left and right translations b…
Four-manifold invariants from higher-rank bundles
P. B. Kronheimer
Generalized Donaldson invariants of 4-manifolds are defined, using moduli spaces of anti-self-dual connections with structure group SU(N) or PSU(N). Some values of the invariants a…
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…
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…