Homology of configuration spaces of surfaces modulo an odd prime

DOI10.1515/crelle-2024-0029MaRDI QIDQ6582265

Unnamed Author, Andrea Bianchi

Publication date: 2 August 2024

Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)

zbMATH Keywords

configuration spacesmapping class groups

Mathematics Subject Classification ID

Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Discriminantal varieties and configuration spaces in algebraic topology (55R80) Homology of classifying spaces and characteristic classes in algebraic topology (55R40)

Cites Work

• Unnamed Item
• Unnamed Item
• On the homology of configuration spaces
• The homology of the Milnor fiber for classical braid groups.
• Johnson filtration and Torelli group, modulo \(p,p\) a prime
• Cohomologies of braid groups
• The topology of spaces of rational functions
• Configuration spaces of positive and negative particles
• The homology of iterated loop spaces
• An abelian quotient of the mapping class group \(\mathfrak S\)
• Cohomology of braid groups with nontrivial coefficients
• Higher enveloping algebras
• Rational Betti numbers of configuration spaces
• Betti numbers and stability for configuration spaces via factorization homology
• Cohomologies of the group COS mod 2
• Ein Verfahren, jeder endlichen \(p\)-Gruppe einen Lie-Ring mit der Charakteristik \(p\) zuzuordnen
• HOMOLOGICAL STABILITY FOR UNORDERED CONFIGURATION SPACES
• Mapping class group actions on configuration spaces and the Johnson filtration
• Splitting of the homology of the punctured mapping class group
• Two mod-p Johnson filtrations
• Betti numbers of configuration spaces of surfaces
• The mapping class group action on the homology of the configuration spaces of surfaces
• Torelli group action on the configuration space of a surface
• Cohomology of configuration spaces of surfaces as mapping class group representations
• Extremal stability for configuration spaces
• Fox-Neuwirth cells, quantum shuffle algebras, and the homology of type-\(B\) Artin groups
• Mod $p$ homology of unordered configuration spaces of surfaces

This page was built for publication: Homology of configuration spaces of surfaces modulo an odd prime