Remarks on the systoles of symmetric convex hypersurfaces and symplectic capacities

Author:

Kim Joontae,Kim Seongchan,Kwon Myeonggi

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Geometry and Topology,Modeling and Simulation

Reference29 articles.

1. Abbondandolo, A., Kang, J.: Symplectic homology of convex domains and Clarke’s duality. to appear in Duke Math. J

2. Abouzaid, M.: A geometric criterion for generating the Fukaya category. Publ. Math. Inst. Hautes Études Sci. 112, 191–240 (2010)

3. Abouzaid, M., Seidel, P.: An open string analogue of Viterbo functoriality. Geom. Topol. 14(2), 627–718 (2010)

4. Akopyan, A., Karasev, R.: Estimating symplectic capacities from lengths of closed curves on the unit spheres. arXiv preprint (2017)

5. Albers, P.: A Lagrangian Piunikhin-Salamon-Schwarz morphism and two comparison homomorphisms in Floer homology. Int. Math. Res. Not. IMRN (4):Art. ID rnm134, 56 (2008)

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1. On dynamically convex contact manifolds and filtered symplectic homology;Journal of the London Mathematical Society;2024-05

2. Coisotropic Hofer–Zehnder capacities of convex domains and related results;Journal of Fixed Point Theory and Applications;2023-04-26

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