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Embbeded contact homology and Reeb dynamics

Grant number: 16/20565-0
Support Opportunities:Scholarships in Brazil - Post-Doctoral
Effective date (Start): March 01, 2017
Effective date (End): February 28, 2019
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Geometry and Topology
Acordo de Cooperação: 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)

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