Morgan’s mixed Hodge structures and nonabelian Hodge structures

DOI10.1080/00927872.2021.1880590zbMath1477.14017arXiv1809.03716OpenAlexW3137031680MaRDI QIDQ4994054

Hisashi Kasuya

Publication date: 14 June 2021

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.03716

zbMATH Keywords

differential graded algebramixed Hodge structure on Sullivan's 1-minimal modelnon-abelian Hodge structure

Mathematics Subject Classification ID

Category-theoretic methods and results in associative algebras (except as in 16D90) (16B50) Rational homotopy theory (55P62) Differential graded algebras and applications (associative algebraic aspects) (16E45) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Mixed Hodge theory of singular varieties (complex-analytic aspects) (32S35)

Cites Work

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• Mixed Hodge structures and representations of fundamental groups of algebraic varieties
• Théorie de Hodge. II. (Hodge theory. II)
• The Hodge theoretic fundamental group and its cohomology
• Cofibrant models of diagrams: Mixed Hodge structures in rational homotopy
• Mixed Hodge Structures
• Rational homotopy theory and differential forms

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