Koszul duality in algebraic topology (Q1946122)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Koszul duality in algebraic topology |
scientific article; zbMATH DE number 6155379
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Koszul duality in algebraic topology |
scientific article; zbMATH DE number 6155379 |
Statements
Koszul duality in algebraic topology (English)
0 references
18 April 2013
0 references
The author first gives a brief survey of the occurrence of Kozul duality of operads in various classical contexts; in particular, Kozul-Moore duality between the bar and co-bar constructions, and the Lie-algebraic version due to Quillen, one of the cornerstones of Quillen's work on rational homotopy theory. The author concludes by connecting this classical framework with his results on the Hopf-invariant map appearing in recent joint work with \textit{B. Walter} [Trans. Am. Math. Soc. 365, No. 2, 861--883 (2013; Zbl 1275.55007)].
0 references
Koszul-Moore duality
0 references
bar and cobar constructions
0 references
operads
0 references
Hopf invariants
0 references
