Symplectic homology, autonomous Hamiltonians, and Morse-Bott moduli spaces - Mathematics Symplectic GeometryReport as inadecuate




Symplectic homology, autonomous Hamiltonians, and Morse-Bott moduli spaces - Mathematics Symplectic Geometry - Download this document for free, or read online. Document in PDF available to download.

Abstract: We define Floer homology for a time-independent, or autonomous Hamiltonian ona symplectic manifold with contact type boundary, under the assumption that its1-periodic orbits are transversally nondegenerate. Our construction is based onMorse-Bott techniques for Floer trajectories. Our main motivation is tounderstand the relationship between linearized contact homology of a fillablecontact manifold and symplectic homology of its filling.



Author: Frédéric Bourgeois, Alexandru Oancea

Source: https://arxiv.org/







Related documents