Existence of a positive hyperbolic Reeb orbit in three spheres with finite free group actions

DOI10.1007/s11784-023-01060-0arXiv2204.01727OpenAlexW4377094051MaRDI QIDQ6171178

Taisuke Shibata

Publication date: 17 July 2023

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2204.01727

zbMATH Keywords

Viterbo's volume-capacity conjecturecontact structures in 3 dimensions

Mathematics Subject Classification ID

Contact structures in 3 dimensions (57K33)

Cites Work

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• Embedded contact homology and Seiberg-Witten Floer cohomology. I.
• Quantitative embedded contact homology
• Dense existence of periodic Reeb orbits and ECH spectral invariants
• The Weinstein conjecture for stable Hamiltonian structures
• Gluing pseudoholomorphic curves along branched covered cylinders. II.
• Holomorphic disks and three-manifold invariants: properties and applications
• An index inequality for embedded pseudoholomorphic curves in symplectizations
• HF=HM. I: Heegaard Floer homology and Seiberg-Witten Floer homology
• Torsion contact forms in three dimensions have two or infinitely many Reeb orbits
• The Seiberg-Witten equations and the Weinstein conjecture
• Gluing pseudoholomorphic curves along branched covered cylinders. I
• The asymptotics of ECH capacities
• Lecture Notes on Embedded Contact Homology
• From one Reeb orbit to two

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