Milnor-Witt motivic cohomology of complements of hyperplane arrangements

DOI10.2140/agt.2023.23.3531zbMath1527.14014arXiv2005.12139MaRDI QIDQ6091921

Keyao Peng

Publication date: 21 November 2023

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.12139

zbMATH Keywords

hyperplane arrangementsreal realizationi-cohomologyMilnor-Witt Motivic cohomology

Mathematics Subject Classification ID

Algebraic cycles (14C25) Motivic cohomology; motivic homotopy theory (14F42) Algebraic cycles and motivic cohomology ((K)-theoretic aspects) (19E15)

Cites Work

• \(\mathbb A^1\)-algebraic topology over a field
• Motivic cohomology of the complement of hyperplane arrangements
• The real cycle class map
• Quaternionic projective bundle theorem and Gysin triangle in MW-motivic cohomology
• Projective bundle theorem in MW-motivic cohomology
• Real cohomology and the powers of the fundamental ideal in the Witt ring
• A Partial Order on the Regions of R n Dissected by Hyperplanes
• Groupes de Chow-Witt
• Groupe de Chow des cycles orientés et classe d'Euler des fibrés vectoriels
• Triangulated Categories of Mixed Motives
• \(\mathbb{A}^1\)-homotopy theory of schemes

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