616 citations
- Oranim Academic College of EducationIL39 papers
- Technion – Israel Institute of TechnologyIL22 papers
- Carmel (Israel)IL9 papers
- Centre National de la Recherche ScientifiqueFR5 papers
- Hebrew University of JerusalemIL5 papers
- Nankai UniversityCN5 papers
- Calvin UniversityUS3 papers
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- Dalian Maritime UniversityCN3 papers
- Royal Holloway University of LondonGB3 papers
- Ben-Gurion University of the NegevIL2 papers
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6 papers · 1 filter
Higher homotopy operations and André-Quillen cohomology
David Blanc, Mark W. Johnson, James M. Turner
There are two main approaches to the problem of realizing a -algebra (a graded group equipped with an action of the primary homotopy operations) as the homotopy groups of a…
Comparing cohomology obstructions
Hans-Joachim Baues, David Blanc
We show that three different kinds of cohomology - Baues-Wirsching cohomology, the (S,O)-cohomology of Dwyer-Kan, and the Andre-Quillen cohomology of a Pi-algebra - are isomorphic,…
Higher homotopy operations and cohomology
David Blanc, Mark W. Johnson, James M. Turner
We explain how higher homotopy operations, defined topologically, may be identified under mild assumptions with (the last of) the Dwyer-Kan-Smith cohomological obstructions to rect…
Comparing homotopy categories
David Blanc
Given a suitable functor T:C -> D between model categories, we define a long exact sequence relating the homotopy groups of any X in C with those of TX, and use this to describe an…
On realizing diagrams of Pi-algebras
David Blanc, Mark W Johnson, James M Turner
Given a diagram of Pi-algebras (graded groups equipped with an action of the primary homotopy operations), we ask whether it can be realized as the homotopy groups of a diagram of…
Higher Homotopy Operations
David Blanc, Martin Markl
We provide a general definition of higher homotopy operations, encompassing most known cases, including higher Massey and Whitehead products, and long Toda brackets. These operatio…