A strictly commutative model for the cochain algebra of a space
From MaRDI portal
Publication:5131206
DOI10.1112/S0010437X20007319zbMath1453.55011arXiv1801.01060OpenAlexW2782043977MaRDI QIDQ5131206
Steffen Sagave, Birgit Richter
Publication date: 4 November 2020
Published in: Compositio Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1801.01060
rational homotopy theoryhomotopy theoryBarratt-Eccles operadsingular cochainsE-infinity differential graded algebra
Rational homotopy theory (55P62) Differential graded algebras and applications (associative algebraic aspects) (16E45) Loop space machines and operads in algebraic topology (55P48) Operads (general) (18M60)
Related Items
Projection spaces and twisted Lie algebras, Homotopical algebra and higher structures. Abstracts from the workshop held September 19--25, 2021 (hybrid meeting), Cohomology of generalized configuration spaces
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Diagram spaces and symmetric spectra
- On left and right model categories and left and right Bousfield localizations
- Iterated bar complexes of \(E\)-infinity algebras and homology theories
- Mixing model structures
- Thom spectra that are symmetric spectra
- Quasi-commutative cochains in algebraic topology
- The homology of iterated loop spaces
- Infinitesimal computations in topology
- Spaces over a category and assembly maps in isomorphism conjectures in \(K\)- and \(L\)-theory
- Symmetric spectra and topological Hochschild homology
- An algebraic model for commutative \(H\mathbb{Z}\)-algebras
- Cochains and homotopy type
- The geometry of iterated loop spaces
- Replacing model categories with simplicial ones
- Realizable homotopy colimits
- On 𝑃𝐿 de Rham theory and rational homotopy type
- Hodge decomposition for higher order Hochschild homology
- Cochain multiplications
- Multivariable cochain operations and little 𝑛-cubes
- Combinatorial operad actions on cochains
- Cohomology of generalized configuration spaces
- MULTIPLICATIVE PARAMETRIZED HOMOTOPY THEORY VIA SYMMETRIC SPECTRA IN RETRACTIVE SPACES
- SYMMETRIC OPERADS IN ABSTRACT SYMMETRIC SPECTRA