Equivalent curves in surfaces
نویسنده
چکیده
for every hyperbolic structure X on S (see [15] and [25]). The proof involves writing down words in the fundamental group which are not conjugate, but because of certain trace relations, they have the same trace squared with respect to every representation into PSL2(R) (see Section 3). The hyperbolic metrics are of course very special, and it seems reasonable that if γ and γ are as above, there should be some purely topological reason for this.
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