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The Geometric P=W Conjecture in the Painlevé Cases via Plumbing Calculus
International Mathematics Research Notices ( IF 0.9 ) Pub Date : 2020-09-16 , DOI: 10.1093/imrn/rnaa245
András Némethi 1 , Szilárd Szabó 1, 2
Affiliation  

We use plumbing calculus to prove the homotopy commutativity assertion of the Geometric P=W conjecture in all Painleve cases. We discuss the resulting Mixed Hodge structures on Dolbeault and Betti moduli spaces.

中文翻译:

Painlevé 案例中的几何 P=W 猜想通过 Plumbing Calculus

我们使用管道演算来证明几何 P=W 猜想在所有 Painleve 情况下的同伦交换性断言。我们讨论在 Dolbeault 和 Betti 模空间上产生的混合 Hodge 结构。
更新日期:2020-09-16
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