Study of endperiodic maps on infinite graphs, proving homotopy and eigenvalue properties.
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Generates special homeomorphisms for complex surfaces.
We give examples of endperiodic automorphisms.
We extend the unpublished work of M. Handel and R. Miller on the classification, up to isotopy, of endperiodic automorphisms of surfaces. We give the Handel-Miller construction of the geodesic laminations, give an axiomatic theory for pseudo-geodesic lamaniations, show the geodesic laminations satisfy the axioms, and p…
Maps on infinite-type surfaces linked to 3-manifold flows.
Maps minimize periodic points for high periods, but not for low periods.
New method finds unique branched surfaces in 3-manifolds.
New polynomial helps compute flow growth rates in 3D manifolds.