Vanishing of Symplectic Homology and Obstruction to Flexible Fillability
Sign Up to like & getrecommendations! Published in 2018 at "International Mathematics Research Notices"
DOI: 10.1093/imrn/rny270
Abstract: For any asymptotically dynamically convex contact manifold $Y$, we show that $SH_{\ast }(W)=0$ is a property independent of the choice of topologically simple (i.e., $c_1(W)=0$ and $\pi _{1}(Y)\rightarrow \pi _1(W)$ is injective) Liouville filling $W$.… read more here.
Keywords: obstruction flexible; vanishing symplectic; symplectic homology; flexible fillability ... See more keywords
Symplectic homology of convex domains and Clarke’s duality
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DOI: 10.1215/00127094-2021-0025
Abstract: We prove that the Floer complex that is associated with a convex Hamiltonian function on $\mathbb{R}^{2n}$ is isomorphic to the Morse complex of Clarke's dual action functional that is associated with the Fenchel-dual Hamiltonian. This… read more here.
Keywords: symplectic homology; convex domains; convex; domains clarke ... See more keywords