Combinatorial formulation of embedded contact homology of toric contact manifolds

Nom de l'orateur
Keon Choi
Etablissement de l'orateur
Alfréd Rényi Institute of Mathematics (Budapest)
Date et heure de l'exposé
Lieu de l'exposé
Salle Eole

Embedded contact homology is an invariant of a three-manifold isomorphic to Heegaard Floer homology and Seiberg-Witten Floer homology. However, ECH chain complex depends on the choice of a contact form on the manifold and is of interest for studying symplectic geometric properties (e.g. ECH capacities). Extending the work of Hutchings-Sullivan, we combinatorially describe  the ECH chain complexes of toric contact manifolds such as T^3 with a T^2-invariant contact form.