Locally Helical Surfaces have bounded twisting
Geometric Topology
2018-03-16 v1
Abstract
A topologically minimal surface may be isotoped into a normal form with respect to a fixed triangulation. If the intersection with each tetrahedron is simply connected, then the pieces of this normal form are triangles, quadrilaterals, and helicoids. Helical pieces can have any number of positive or negative twists. We show here that the net twisting of the helical pieces of any such surface in a given triangulated 3-manifold is bounded.
Cite
@article{arxiv.1502.05646,
title = {Locally Helical Surfaces have bounded twisting},
author = {David Bachman and Ryan Derby-Talbot and Eric Sedgwick},
journal= {arXiv preprint arXiv:1502.05646},
year = {2018}
}
Comments
17 pages, 11 figures