Work

Holed cone structures on 3-manifolds

Year: 2022

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2210.14765

Author: Yoshida, Ken'ichi

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Ministry of Education, Culture, Sports, Science and Technology, Japan Society for the Promotion of Science, Research Institute for Mathematical Sciences, Division of Mathematical Sciences, Core Research for Evolutional Science and Technology

Award: Deformation of hyperbolic structures and geometry of non-discrete representations

OpenAlex ID: W4307478158

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