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Comments on article:
Feng Luo; On non-separating simple closed curves in a compact surface ERA Amer.Math. Soc. 01 (1995), pp. 18-25.

Comments by the author

Errata

Comments

1. N. Ivanov in [Iv] has proven a stronger form of Theorem 2.

2. On the question of finite dimensional linear representation of the ammping class group, Morita [Mo] has informed me that he has proven that each Miller-Morita-Mumford classes in the cohomology class of the mapping class group comes from some finite dimensional linear representation of the group.

3. On the question of geodesic length function, we have shown in [Lu3] that these functions, considered as functions from the set of isotopy classes of essential simple closed curves in the surface, can be completely characterized by two types of relations (one of them is relation (1)).

Updates to Bibliography

[Bo1] Bonahon, F.: The geometry  of Teichm\"uller space via geodesic
currents, Invent. Math. {\bf 92} (1988), 139-162

[Iv] Ivanov, N.: Automorphisms of complexes of curves and of Teichm\"uller
spaces, preprint.

[Mo] Morita, S.: private communication.

[Lu1] Luo, F.: On non-separating simple closed curves in a compact surface.
Topology, in press.

[Lu2] Luo, F.: On the mapping class groups of compact surfaces, preprint.

[Lu3] Luo, F.: Geodesic length functions and Teichm\"uller spaces, preprint.

[Th] Thurston, W.: On the geometry and dynamics of diffeomorphisms of
surfaces, Bul. Amer. Math. Soc. {\bf 19} (2) (1988), 417-438