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Rational knot concordance and homology cobordism
Rational knot concordance homology cobordism
2010/11/24
The following is a long-standing open question: "If the zero-framed surgeries on two knots in the 3-sphere are integral homology cobordant, are the knots themselves concordant?" We show that an obvio...
Chern-Simons invariants, SO(3) instantons, and Z/2-homology cobordism
Chern-Simons invariants SO(3) instantons Z/2-homology cobordism
2010/12/14
We review the SO(3) instanton gauge theory of Fintushel and Stern and recast it in the context of 4-manifolds with cylindrical ends. Appli-cations to the Z/2 homology cobordism group of Z/2 homology 3...