p(-2,3,7)의 비매듭터널의 유도

Abstract

매듭 p(-2,3,7)의 서로 다른 두 (1,1)-분해(decomposition)에 대한 이원 분지 피복 공간의 정이면체 대칭성(dihedral symmetry of the double branched covering)을 이용하여 4개의 비매듭 터널(unknotting tunnel)을 얻는 과정을 상세히 밝힌다.

This thesis is to explicitly show how to derive the four unknotting tunnels from the two (1,1)-decompositions of p(-2,3,7) using dihedral symmetry of the double branched covering. This thesis is collect some basic concepts and definitions for study of tunnel number one knots including the dihedral branched covering space of a 2-bridge theta curve studied in H.J.Song, Morimoto-Sakuma-Yokota[9].