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Thomas Sharpe

Publications and source records attributed to Thomas Sharpe.

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Singular vertices of nonnegatively curved integral polyhedral 3-manifolds

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.

math.GT