Hamiltonian chords of quantized action

• Applicant: Professor Dr. Urs Frauenfelder
• Subject Area: Mathematics
• Term: from 2007 to 2009
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 43065683

The objective of this proposal is to investigate Hamiltonian cords of quantized action. More precisely, we want to establish their existence in a quantitative way e.g. finding lower bounds on their number and giving estimates for their period and energy. The main tool is our newly defined Floer homology for non-compactly supported Hamiltonian functions in negative line bundles.

• DFG Programme: Priority Programmes
• Subproject of: SPP 1154: Global Differential Geometry
• International Connection: USA
• Participating Person: Professor Dr. Peter Albers