刺破Riemann曲面特征变异的交点上同调

Journal de l’École polytechnique — Mathématiques Pub Date : 2022-01-21 DOI:10.5802/jep.215

Mathieu Ballandras

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引用次数: 4

摘要

研究了针尖周围有规定单点的刺破黎曼曲面的特征变异的交上同调性。根据Mellit [Mel17b]先前关于半简单单染色体的结果，我们计算了任意Jordan型单染色体的字符变异的交上同调。这证明了Letellier [Let13]猜想的poincar多项式专门化。

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Intersection cohomology of character varieties for punctured Riemann surfaces

We study intersection cohomology of character varieties for punctured Riemann surfaces with prescribed monodromies around the punctures. Relying on previous result from Mellit [Mel17b] for semisimple monodromies we compute the intersection cohomology of character varieties with monodromies of any Jordan type. This proves the Poincaré polynomial specialization of a conjecture from Letellier [Let13].

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Journal de l’École polytechnique — Mathématiques

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