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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