Homological stability for topological chiral homology of completions

DOI10.1016/j.aim.2016.02.003zbMath1339.57039arXiv1311.5203OpenAlexW2964228391MaRDI QIDQ5965079

Jeremy Miller, Alexander Kupers

Publication date: 2 March 2016

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.5203

zbMATH Keywords

configuration spacesoperadsymmetric powers\(E_{n}\)-algebrashomological stabilityscanning maptopological chiral homology

Mathematics Subject Classification ID

Discriminantal varieties and configuration spaces in algebraic topology (55R80) General theory of differentiable manifolds (58A99) Algebraic topology on manifolds and differential topology (57R19)

Related Items (9)

Betti numbers and stability for configuration spaces via factorization homology ⋮ Free factorization algebras and homology of configuration spaces in algebraic geometry ⋮ Homological stability for moduli spaces of disconnected submanifolds. I ⋮ \(E_n\)-cell attachments and a local-to-global principle for homological stability ⋮ Homological stability of automorphism groups of quadratic modules and manifolds ⋮ Homological stability and densities of generalized configuration spaces ⋮ Homological stability for symmetric complements ⋮ Central stability for the homology of congruence subgroups and the second homology of Torelli groups ⋮ Discriminants in the Grothendieck ring

Cites Work

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• Stabilization for mapping class groups of 3-manifolds
• Decomposition theorem for homology groups of symmetric groups
• Quasifaserungen und unendliche symmetrische Produkte
• On triangulations of surfaces
• The topology of spaces of rational functions
• The homology of some groups of diffeomorphisms
• Configuration spaces of positive and negative particles
• Homology fibrations and the 'group-completion' theorem
• The homology of iterated loop spaces
• Genetics of homotopy theory and the Adams conjecture
• Shortening embedded curves
• Batalin-Vilkovisky algebras and two-dimensional topological field theories
• Configuration space models for spaces of maps from a Riemann surface to complex projective space
• Manifold-theoretic compactifications of configuration spaces
• Homotopy invariant algebraic structures on topological spaces
• Contractibility of the space of rational maps
• Discriminants in the Grothendieck ring
• Decomposition theorems for \(S(n)\)-complexes
• Some stable homology calculations and Occam's razor for Hodge structures
• Higher Hochschild homology, topological chiral homology and factorization algebras
• The topology of the space of \(J\)-holomorphic maps to \(\mathbb C\mathbb P^2\)
• Cohomology operations, and obstructions to extending continuous functions
• The geometry of iterated loop spaces
• Configuration-spaces and iterated loop-spaces
• What does the classifying space of a category classify?
• Spaces of particles on manifolds and generalized poincare dualities
• LOCALIZATION AND HOMOLOGICAL STABILITY OF CONFIGURATION SPACES
• Homological stability for mapping class groups of surfaces
• Factorization homology of topological manifolds
• On the Classification of Topological Field Theories
• Rational Homotopy of Spaces of Maps Into Spheres and Complex Projective Spaces
• Nilpotent Spaces of Sections
• On the rational homotopy type of function spaces
• Rational Homotopy of the Space of Sections of a Nilpotent Bundle
• HOMOLOGICAL STABILITY FOR UNORDERED CONFIGURATION SPACES
• A TWISTED HOMOLOGY FIBRATION CRITERION AND THE TWISTED GROUP-COMPLETION THEOREM
• Nonabelian Poincaré duality after stabilizing
• The Homology of Symmetric Products
• Le type d'homotopie du groupe des difféomorphismes d'une surface compacte
• Diffeomorphisms of the 2-Sphere

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