Secondary representation stability and the once-punctured torus

DOI10.1016/j.topol.2022.108228OpenAlexW4292240079WikidataQ114127840 ScholiaQ114127840MaRDI QIDQ2172644

Nicholas Wawrykow

Publication date: 16 September 2022

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.11766

zbMATH Keywords

configuration spacerepresentation stabilityarc resolution spectral sequencesecondary representation stability

Mathematics Subject Classification ID

Discriminantal varieties and configuration spaces in algebraic topology (55R80) Homology of classifying spaces and characteristic classes in algebraic topology (55R40) Functor categories, comma categories (18A25)

Cites Work

• The homology of iterated loop spaces
• Hilbert series for twisted commutative algebras
• Noetherianity of some degree two twisted skew-commutative algebras
• Asymptotic growth of Betti numbers of ordered configuration spaces of an elliptic curve
• Higher-order representation stability and ordered configuration spaces of manifolds
• FI-modules and stability for representations of symmetric groups
• Improved homological stability for configuration spaces after inverting 2
• HOMOLOGICAL STABILITY FOR UNORDERED CONFIGURATION SPACES
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