3 papers
math.AT2025
The algebra of higher homotopy operations
Samik Basu, David Blanc, Debasis Sen
We explain how the simplicial higher-order unstable homotopy operations defined in [BBS2] may be composed and inserted one in another, thus forming a coherent if complicated algebr…
math.AT2025
André-Quillen Cohomology and -invariants of simplicial categories
David Blanc, Nicholas Meadows
Using the Harpaz-Nuiten-Prasma interpretation of the Dwyer-Kan-Smith cohomology of a simplicial category , we obtain a cochain complex for the André-Quillen cohomolog…
math.AT2025
The higher structure of unstable homotopy groups
Samik Basu, David Blanc, Debasis Sen
We construct certain unstable higher-order homotopy operations indexed by the simplex categories of for and prove that all elements in the homotopy groups of a…