A homological condition for a dynamical and illuminatory classification of torus branched coverings

Details A homological condition for a dynamical and illuminatory classification of torus branched coverings A homological condition for a dynamical and illuminatory classification of torus branched coverings

2006-03-14

arxiv.org/abs/math/0603352v1

Mathematics

Dynamical Systems

18 pages, 13 figures

Scientific paper

We prove that, for translation surfaces whose homology is generated by the
periodic orbits, the notions of - finite blocking property - pure periodicity -
torus branched covering are equivalent. In particular, we prove this
equivalence for convex surfaces and on a dense open subset of full measure on
every normalized stratum.

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