Surgery Exact Triangles in Instanton Theory
Surgery Exact Triangles in Instanton Theory
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Deeparaj Bhat, MIT
We prove an exact triangle relating the knot instanton homology to the instanton homology of surgeries听along the knot. As the knot instanton homology is computable in many instances, this sheds some light on the instanton homology of closed 3-manifolds. We illustrate this with the case of some surgeries on the trefoil. Finally,听we sketch the proof of the triangle.听
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