Cubical rigidification, the cobar construction and the based loop space

DOI10.2140/agt.2018.18.3789zbMath1423.18026arXiv1612.04801OpenAlexW3098182807WikidataQ128742248 ScholiaQ128742248MaRDI QIDQ1713041

Mahmoud Zeinalian, Manuel Rivera

Publication date: 24 January 2019

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

Full work available at URL: https://arxiv.org/abs/1612.04801

zbMATH Keywords

cobar constructionrigidificationbased loop space

Mathematics Subject Classification ID

Related Items (13)

The simplicial coalgebra of chains determines homotopy types rationally and one prime at a time ⋮ Adams' cobar construction revisited ⋮ Categorical models for path spaces ⋮ Unnamed Item ⋮ Rational homotopy equivalences and singular chains ⋮ Singular chains and the fundamental group ⋮ A combinatorial model for the path fibration ⋮ Cubical model categories and quasi-categories ⋮ Homotopy theory of monoids and derived localization ⋮ Maurer-Cartan moduli and theorems of Riemann-Hilbert type ⋮ Sheaves via augmentations of Legendrian surfaces ⋮ The functor of singular chains detects weak homotopy equivalences ⋮ Categorical Koszul duality

Cites Work

• Rigidification of quasi-categories
• Mapping spaces in quasi-categories
• The Hochschild complex of a twisting cochain
• Cyclic homology, derivations, and the free loopspace
• On the algebra of cubes
• Quasi-categories and Kan complexes
• Geometric realisations of cubical sets with connections, and classifying spaces of categories
• Categorical Homotopy Theory
• ON THE COBAR CONSTRUCTION
• The loop group and the cobar construction
• Higher Topos Theory (AM-170)
• Algebraic Operads

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