Hyperbolic attractors of diffeomorphisms of orientable surfaces
Sbornik. Mathematics, Tome 82 (1995) no. 1, pp. 135-174
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A method is proposed for describing combinatorially the one-dimensional hyperbolic attractors of diffeomorphisms of orientable surfaces and the corresponding pseudo-Anosov diffeomorphisms. Using this method a new invariant of topological conjugacy is introduced. The set of values of this invariant admits an effective enumeration.
@article{SM_1995_82_1_a6,
author = {A. Yu. Zhirov},
title = {Hyperbolic attractors of diffeomorphisms of orientable surfaces},
journal = {Sbornik. Mathematics},
pages = {135--174},
publisher = {mathdoc},
volume = {82},
number = {1},
year = {1995},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1995_82_1_a6/}
}
A. Yu. Zhirov. Hyperbolic attractors of diffeomorphisms of orientable surfaces. Sbornik. Mathematics, Tome 82 (1995) no. 1, pp. 135-174. http://geodesic.mathdoc.fr/item/SM_1995_82_1_a6/