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Hyperbolicity equations for pseudo hyperbolic structures of knot complements
매듭 여공간에서 의쌍곡구조를 위한 쌍곡 방정식

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Authors
김우정
Advisor
김홍종, 김혁
Major
자연과학대학 수리과학부
Issue Date
2018-08
Publisher
서울대학교 대학원
Description
학위논문 (석사)-- 서울대학교 대학원 : 자연과학대학 수리과학부, 2018. 8. 김홍종, 김혁.
Abstract
Abstract

A knot complement can be decomposed by the Ideal octahedron mod-

ulo two points. In this decomposition, pseudo-developing map and

its holonomy representation show the conditions to construct pseudo-

hyperbolic structure. The conditions are written as hyperbolicity equa-

tion. Therefore, when the shape of each octahedron satisfy the hyper-

bolicity equation, we can give a pseudo-hyperbolic structure to the knot

complement. In this paper, we consider various kinds of variables to rep-

resent and to solve the hyperbolicity equation and especially decide a

general algorithm of obtaining w-variable solutions for this equation.

Keywords: Knot, octahedral decomposition, pseudo-hyperbolic

structure, pseudo-developing.
Language
English
URI
http://hdl.handle.net/10371/143897
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College of Natural Sciences (자연과학대학)Dept. of Mathematical Sciences (수리과학부)Theses (Master's Degree_수리과학부)
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