The Geometric P=W Conjecture in the Painlevé Cases via Plumbing Calculus-Reference-Cited by-同舟云学术

The Geometric P=W Conjecture in the Painlevé Cases via Plumbing Calculus

Published:2020-09-16 Issue: Volume: Page:
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Némethi András¹,Szabó Szilárd¹²

Affiliation:

1. Alfréd Rényi Institute of Mathematics, 1053 Budapest, Reáltanoda utca 13–15, Hungary

2. Budapest University of Technology and Economics, 1111, Budapest, Egry József utca 1 H épület, Hungary

Abstract

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

Funder

Hungarian Academy of Sciences

NKFIH

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

http://academic.oup.com/imrn/advance-article-pdf/doi/10.1093/imrn/rnaa245/33749534/rnaa245.pdf

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