论文标题
稳定等级的模量空间2寄生虫束在带有3个标记点的椭圆曲线上
The moduli space of stable rank 2 parabolic bundles over an elliptic curve with 3 marked points
论文作者
论文摘要
我们明确描述了稳定等级2抛物线捆绑$ x $ x $的模量$ m^s（x，3）$，带有微不足道的决定因素束和3个标记点。具体来说，我们展示$ m^s（x，3）$，作为$（\ mathbb {cp}^1）^3 $中嵌入式椭圆曲线的爆炸。 Moduli Space $ m^s（x，3）$也可以解释为$ su（2）$ carture the 3函数的圆环。我们对$ m^s（x，3）$的描述重现了该空间的已知庞加莱多项式。
We explicitly describe the moduli space $M^s(X,3)$ of stable rank 2 parabolic bundles over an elliptic curve $X$ with trivial determinant bundle and 3 marked points. Specifically, we exhibit $M^s(X,3)$ as a blow-up of an embedded elliptic curve in $(\mathbb{CP}^1)^3$. The moduli space $M^s(X,3)$ can also be interpreted as the $SU(2)$ character variety of the 3-punctured torus. Our description of $M^s(X,3)$ reproduces the known Poincaré polynomial for this space.
