Curve Complexes of Non-orientable Surfaces
نویسنده
چکیده
We explore non-orientable surfaces and their associated curve complexes. Studying the combinatorics modeled by the curve complex of a surface helps elucidate the algebraic properties of the mapping class group of the surface. We begin by studying geometric properties of the curve complexes of non-orientable surfaces and the geometric properties of natural sub-complexes of the curve complex. Finally, we prove that the curve complex of a nonorientable surface is homotopy equivalent to a wedge of spheres of possibly different dimensions.
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تاریخ انتشار 2016