Topology Seminar (Introductory Talk): ECH=HM, their Q-grading and the eta invariant

Seminar | October 16 | 2:10-3 p.m. | 740 Evans Hall

 Nikhil Savale, Universität zu Köln

 Department of Mathematics

This pre-talk explains some of the background behind the asymptotics of ECH capacities and its subleading estimate. Firstly this includes an outline of Taubes's isomorphism between embedded contact homology (ECH) and monopole Floer homology (HM). Next we describe the eta invariant of Atiyah-Patodi-Singer, some of its analytic properties and its relationship with the rational Q-grading on HM.