P=W conjectures for character varieties with symplectic resolution

DOI10.5802/jep.196zbMath1499.14087arXiv2006.08752OpenAlexW3034183145WikidataQ123357078 ScholiaQ123357078MaRDI QIDQ2144260

Camilla Felisetti, Mirko Mauri

Publication date: 1 June 2022

Published in: Journal de l'École Polytechnique -- Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.08752

zbMATH Keywords

intersection cohomologyHiggs bundlesP=W conjecture

Mathematics Subject Classification ID

Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Algebraic moduli problems, moduli of vector bundles (14D20) Symplectic structures of moduli spaces (53D30) Mixed Hodge theory of singular varieties (complex-analytic aspects) (32S35) Fine and coarse moduli spaces (14D22) Intersection homology and cohomology in algebraic topology (55N33) Holomorphic symplectic varieties, hyper-Kähler varieties (14J42) Character varieties (14M35)

Related Items (8)

INTERSECTION COHOMOLOGY OF THE MODULI SPACE OF HIGGS BUNDLES ON A GENUS 2 CURVE ⋮ Projective completion of moduli of \(t\)-connections on curves in positive and mixed characteristic ⋮ Symplectic resolutions of character varieties ⋮ Deformations of compact Prym fibrations to Hitchin systems ⋮ Intersection cohomology of character varieties for punctured Riemann surfaces ⋮ INTERSECTION COHOMOLOGY OF RANK 2 CHARACTER VARIETIES OF SURFACE GROUPS ⋮ Nonabelian Hodge theory for stacks and a stacky P=W conjecture ⋮ Complex analysis -- differential and algebraic methods in Kähler spaces. Abstracts from the workshop held April 9--14, 2023

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