ECH of prequantization bundles

ECH of prequantization bundles

-
Jo Nelson, Rice University
IAS - Simonyi Hall Seminar Room SH-101

In-Person Talk 

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.