The 2011 PhD thesis of Farris outlined a scheme to show that the ECH of a prequantization bundle over a Riemann surface is isomorphic as a ℤ/2ℤ-graded group to the exterior algebra of the homology of its base. In addition to providing an overview of the proof, I will explain how Morgan Weiler and I extended this result by computing the ℤ-grading on the chain complex, permitting our computation of the unstable and stable portions of ECH.
This video is part of the Institute for Advanced Study‘s Symplectic geometry seminar.
