A spectral sequence for stratified spaces and configuration spaces of points

DOI10.2140/gt.2017.21.2527zbMath1420.55027arXiv1603.01137OpenAlexW2291848620MaRDI QIDQ2356972

Dan Erik Petersen

Publication date: 7 June 2017

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

Full work available at URL: https://arxiv.org/abs/1603.01137

zbMATH Keywords

spectral sequenceconfiguration spacesstratified spaceshomological stabilityrepresentation stability

Mathematics Subject Classification ID

Sheaf cohomology in algebraic topology (55N30) Classical real and complex (co)homology in algebraic geometry (14F25) Discriminantal varieties and configuration spaces in algebraic topology (55R80) Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects) (32S60) General theory of spectral sequences in algebraic topology (55T05)

Related Items

Combinatorics of orbit configuration spaces, Linear and quadratic ranges in representation stability, Betti numbers and stability for configuration spaces via factorization homology, Representation stability for families of linear subspace arrangements, Cohomology of cluster varieties II: Acyclic case, On the length of perverse sheaves on hyperplane arrangements, Length and decomposition of the cohomology of the complement to a hyperplane arrangement, Configurations of noncollinear points in the projective plane, Correction to: ``A spectral sequence for stratified spaces and configuration spaces of points, Cohomology of the space of polynomial maps on \(\mathbb{A}^1\) with prescribed ramification, Brown's dihedral moduli space and freedom of the gravity operad, Noetherian properties in representation theory, Single-valued integration and double copy, Cohomology of generalized configuration spaces, 𝖥𝖨-hyperhomology and ordered configuration spaces, Coincidences between homological densities, predicted by arithmetic, Representation stability on the cohomology of complements of subspace arrangements, Homological stability of topological moduli spaces, Stability in the homology of Deligne–Mumford compactifications, A generating function approach to new representation stability phenomena in orbit configuration spaces

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