The Salvetti complex and the little cubes

DOI10.4171/JEMS/319zbMath1247.55008arXivmath/0602085OpenAlexW1985918621MaRDI QIDQ2428719

Dai Tamaki

Publication date: 20 April 2012

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0602085

zbMATH Keywords

iterated loop spacesEilenberg-Moore spectral sequenceSalvetti complexbraid arrangement

Mathematics Subject Classification ID

Matroids in convex geometry (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.) (52B40) Loop space machines and operads in algebraic topology (55P48) Eilenberg-Moore spectral sequences (55T20)

Cites Work

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• Complexified real arrangements of hyperplanes
• Topological nonrealization results via the Goodwillie tower approach to iterated loopspace homology
• Iterated monoidal categories
• Cohomology of Coxeter groups and Artin groups
• Product and other fine structure in polynomial resolutions of mapping spaces
• Iterated loop spaces
• Homology and fibrations I: Coalgebras, cotensor product and its derived functors
• Steenrod operations in the Eilenberg-Moore spectral sequence
• The geometry of iterated loop spaces
• Combinatorial Stratification of Complex Arrangements
• A generalization of Snaith-type filtration

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