- Speaker:
Jo Nelson
- Time:
11:00 - 12:00
- Abstract:
I will discuss work in progress with Morgan Weiler on the Calabi invariant of periodic orbits of symplectomorphisms of Seifert surfaces of T(p,q) torus knots in the standard contact 3-sphere. Our results come by way of spectral invariants of embedded contact homology, which allows us to realize the relationship between the action and linking of Reeb orbits with respect to an elliptic T(p,q) orbit in the standard 3-sphere. Along the way, we developed new methods for understanding the embedded contact homology of open books and prequantization orbi-bundles.