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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.



Autor: Frédéric Bourgeois, Alexandru Oancea

Fuente: https://arxiv.org/







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