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研究生： 蔡宗霖
Tsai, Tsung-Lin
論文名稱： 在特徵簇上卡當對和的不動點集
The Fixed Point Set of a Cartan Involution on the Character Variety
指導教授： 何南國
Ho, Nan-Kuo
口試委員: 吳思曄
Wu, Si-Ye
夏杼
Xia, Eugene Zhu
學位類別： 碩士
Master
系所名稱： 理學院 - 數學系
Department of Mathematics
論文出版年： 2024
畢業學年度： 112
語文別： 英文
論文頁數： 38
中文關鍵詞： 特徵簇 、卡當對和 、不動點集
外文關鍵詞： Character Variety, Cartan Involution, Fixed Point Set
相關次數： 點閱：43  下載：0 
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    • 我們首先描述從環面的基本群到SL(2,C)的reductive representation。接著，考慮在 character variety上的involution，並且研究其不動點集。

    We describe the reductive homomorphisms from the fundamental group of a torus of genus 1 to SL(2,C). We consider an involution on the character variety induced by a Cartan involution of SL(2,C) and investigate its fixed point set.

    Abstract Contents 1 Introduction------------------------------------1 2 The moduli space of flat connections-----------3 3 Character variety-------------------------------17 4 The isomorphism between the two models------20 5 Cartan involutions on the character variety------29 Bibliography--------------------------------------37

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