Contact invariants of Q-Gorenstein toric contact manifolds and the Ehrhart (quasi-) polynomials of their toric diagrams
Miguel Abreu (Instituto Superior Técnico - University of Lisbon)
Abstract: Q-Gorenstein toric contact manifolds provide an interesting class of examples of contact manifolds with torsion first Chern class. They are completely determined by certain rational convex polytopes, called toric diagrams. The main goal of this talk is to describe how the cylindrical contact homology invariants of a Q-Gorenstein toric contact manifold are related to the Ehrhart (quasi-)polynomial of its toric diagram. This is part of joint work with Leonardo Macarini and Miguel Moreira (arXiv:2202.00442).
algebraic geometrydifferential geometrysymplectic geometry
Audience: researchers in the topic
Series comments: To receive the series announcements, which include the
Zoom access password*, please register in
math.tecnico.ulisboa.pt/seminars/geolis/index.php?action=subscribe#subscribe
*the last announcement for a seminar is sent 2 hours before the seminar.
Geometria em Lisboa video channel: educast.fccn.pt/vod/channels/bu46oyq74
Organizers: | Jose Mourao*, Rosa Sena Dias, Sílvia Anjos* |
*contact for this listing |