Triangulations into Groups

Details Triangulations into Groups Triangulations into Groups

2005-10-27

arxiv.org/abs/math/0510613v1

Mathematics

Geometric Topology

6 pages, 2 figures

Scientific paper

If a (cusped) surface S admits an ideal triangulation T with no shears, we show an efficient algorithm to give S as a quotient of hypebolic plane by a subgroup of PSL(2, Z). The algorithm runs in time O(n log n), where n is the number of triangles in the triangulation T. The algorithm generalizes to producing fundamental groups of general surfaces and geometric manifolds of higher dimension.

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