Simple braids for surface homeomorphisms

DOI10.1016/j.topol.2005.07.018zbMath1105.37028arXivmath/0510134OpenAlexW1971850715MaRDI QIDQ860474

Kamlesh Parwani

Publication date: 9 January 2007

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0510134

zbMATH Keywords

periodic orbitssurfacesrotation vectors

Mathematics Subject Classification ID

Group actions on manifolds and cell complexes in low dimensions (57M60) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30)

Related Items

Monotone periodic orbits for torus homeomorphisms

Cites Work

• Generalizations of the Poincaré-Birkhoff theorem
• Rotation sets and monotone periodic orbits for annulus homeomorphisms
• Proof of the Poincaré-Birkhoff fixed point theorem
• A foliated version of the Brouwer translation theorem
• The rotation set of a homeomorphism of the annulus is closed
• On the geometry and dynamics of diffeomorphisms of surfaces
• Braids, Links, and Mapping Class Groups. (AM-82)
• Monotone periodic orbits for torus homeomorphisms
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