Euler class and free generation

Mathematics – Differential Geometry

Scientific paper

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amstex

Scientific paper

the main theorem gives a sufficient condition for a n elements of SL(2,R) to
generate a free group.The idea behind it is to use a nonorientable version of
the Dehn-Wolpert-Goldman twist and to sew it with the original representation
of a free group to get representation of the closed surfase group and then to
apply Goldman' theorem.

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