Algebraic Structures on Symplectic Homology and Their Applications

• Applicants: Professor Dr. Kai Cieliebak; Professor Dr. Janko Latschev
• Subject Area: Mathematics
• Term: from 2013 to 2018
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 227710160

The subject of this project is symplectic homology, an invariant of symplectic manifolds with contact type boundary. This proposal has two goals. The first one is to enhance this theory by introducing additional algebraic structures. The second goal is to apply these new structures to specific problems in symplectic topology: Lagrangian embeddings and immersions, contact embeddings, topology of symplectic fillings, and relations to the theory of singularities.

• DFG Programme: Research Grants