Singular vertices of nonnegatively curved integral polyhedral 3-manifolds
arXiv:2111.02301
Abstract
In this paper, we study polyhedral 3-manifolds with nonnegative curvature and integral monodromy, two conditions motivated by Thurston's work in arXiv:math/9801088. We classify the 32 isometry types of codimension 3 singularities in such manifolds. We also show that the number of these singularities is bounded.
22 pages, 5 figures, 1 table. Missing cases added into proof of Lemma 2.10, new Lemma 3.6 added to fix error in old Lemma 3.6 (now 3.7), and various other minor errors fixed. Comments welcome!