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ECH of prequantization bundles

Jo Nelson

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.