Embbeded contact homology and Reeb dynamics

• Grant number: 16/20565-0
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: March 01, 2017
• End date: February 28, 2019
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Agreement: Coordination of Improvement of Higher Education Personnel (CAPES)
• Principal Investigator: Pedro Antonio Santoro Salomão
• Grantee: Keon Choi
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Associated research grant: 11/16265-8 - Low dimensional dynamics, AP.TEM

Abstract

Embedded contact homology is one of the most powerful tools in symplectic topology. The symplectic capacities originated from this theory are used to study Reeb dynamics and the existence of symplectic embeddings. The goal of this project is to compute the symplectic capacities of some particular cases of symplectic manifolds. (AU)