Unitary representations of the fundamental group of orbifolds

Proceedings Mathematical Sciences

INDRANIL BISWAS¹  AMIT HOGADI¹ 

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关键词: Orbifolds;    polystable vector bundle;    fundamental group;    unitary representation;   

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 摘 要 】

Let $X$ be a smooth complex projective variety of dimension $n$ and $mathcal{L}$ an ample line bundle on it. There is a well known bijective correspondence between the isomorphism classes of polystable vector bundles $E$ on $X$ with $c_{1}(E) = 0 = c_{2}(E) cdot c_{1} mathcal (L)^{n−2}$ and the equivalence classes of unitary representations of $pi_{1}(X)$. We show that this bijective correspondence extends to smooth orbifolds.

【 授权许可】

Unknown