BIRS Workshop Lecture Videos
Instanton and Heegaard Floer homologies of surgeries on torus knots Pinzon-Caicedo, Juanita
The Instanton Floer chain complex is generated by flat connections on a principal SU(2)-bundle over, and the differential counts solutions to the Yang-Mills equation (known as instantons). The Heegaard Floer chain complex is generated by the intersection points of curves in a Heegaard diagram for Y and its differential counts solutions to the Cauchy-Riemann equation (known as pseudoholomorphic Whitney discs). In the talk I will show that these invariants are the same when the 3-manifold is surgery on S^3 along a torus knot. This is joint work with Tye Lidman and Christopher Scaduto.
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