Surgery Exact Triangles in Instanton Theory

Deeparaj Bhat, MIT
Fine Hall 314

We prove an exact triangle relating the knot instanton homology to the instanton homology of surgeries 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, we sketch the proof of the triangle.