Braids and linked periodic orbits of disc homeomorphisms

DOI10.1016/j.topol.2023.108778arXiv2303.04570OpenAlexW4389166184MaRDI QIDQ6142720

Xiang Liu

Publication date: 4 January 2024

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

Full work available at URL: https://arxiv.org/abs/2303.04570

zbMATH Keywords

periodic orbitlinkpseudo-Anosov mapdiscbraid typeforcing relation

Mathematics Subject Classification ID

Braid groups; Artin groups (20F36) Fixed points and coincidences in algebraic topology (55M20) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Symplectic Floer homology of area-preserving surface diffeomorphisms
• The forcing partial order on a family of braids forced by pseudo-Anosov 3-braids
• A trace formula for the forcing relation of braids
• Knotted periodic orbits in suspensions of Smale's horseshoe: torus knots and bifurcation sequences
• Rotation sets and monotone periodic orbits for annulus homeomorphisms
• A note on the periods of surface homeomorphisms
• Fixed points of surface diffeomorphisms
• Topological methods in surface dynamics
• Symplectic Floer homology and the mapping class group.
• A forcing relation of braids from Nielsen fixed point theory
• Braid Floer homology
• Floer homology of algebraically finite mapping classes
• The periodic Floer homology of a Dehn twist
• The next-to-top term in knot Floer homology
• Existence de points fixes enlacés à une orbite périodique d'un homéomorphisme du plan
• Periodic orbits and fixed points of a C¹ orientation-preserving embedding of D²
• Pourquoi les points périodiques des homéomorphismes du plan tournent-ils autour de certains points fixes ?
• Lectures on Nielsen fixed point theory
• Knotted periodic orbits in suspensions of annulus maps
• On the geometry and dynamics of diffeomorphisms of surfaces
• The forcing partial order on the three times punctured disk
• Representations of Artin’s braid groups and linking numbers of periodic orbits
• Non-monotone periodic orbits of a rotational horseshoe
• A REFLEXIVE REPRESENTATION OF BRAID GROUPS
• Nielsen theory and linked periodic orbits of homeomorphisms of $\mathbb{S}^2$

This page was built for publication: Braids and linked periodic orbits of disc homeomorphisms