arXiv:math/0608752 Abstract

Published 2006-08-30, updated 2006-09-25Version 2

Our main theorem asserts that every Farey graph embedded in the 1-skeleton of the pants complex of any finite type surface is totally geodesic.

Comments: 13 pages, 6 figures. Minor changes in exposition, one reference added

Categories: math.GT, math.CO, math.MG

Subjects: 57M50, 05C12

Keywords: totally geodesic subgraphs, pants complex, main theorem asserts, finite type surface, farey graph

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