Holed cone structures on 3-manifolds

Ken'ichi Yoshida

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arXiv · 2210.14765

Holed cone structures on 3-manifolds

Ken'ichi Yoshida

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Abstract

We introduce holed cone structures on 3-manifolds to generalize cone structures. In the same way as a cone structure, a holed cone structure induces the holonomy representation. We consider the deformation space consisting of the holed cone structures on a 3-manifold whose holonomy representations are irreducible. This deformation space for positive cone angles is a covering space on a reasonable subspace of the character variety.

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Ken'ichi Yoshida. 2022-10-26. Holed cone structures on 3-manifolds. https://arxiv.org/abs/2210.14765

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