An index for Brouwer homeomorphisms and homotopy Brouwer theory

Abstract

We use the homotopy Brouwer theory of Handel to define a Poincar{é} index between two orbits for an orientation preserving fixed point free homeomorphism of the plane. Furthermore, we prove that this index is almost additive.

To appear in Ergodic Theory and Dynamical Systems

References in corpus (2)

• Entropy zero area preserving diffeomorphisms of $S^2$
• An introduction to Handel's homotopy Brouwer theory

Cited by in corpus (1)

• Conjugacy invariants for Brouwer mapping classes