1999/10/24 by James E. McClure, McClure, James E., Jeffrey H. Smith +1 · 2 citations
Mathematics · #18H15 #55P43 #55P48 #Advanced Topics in Algebra #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA) #math.AT #math.QA #msc:18H15 #msc:55P43 #msc:55P48
paper · pdf · doi:10.48550/arxiv.math/9910126
openalex publication_date 1999/10/24 · arxiv created 2001/02/02 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Deligne asked in 1993 whether the Hochschild cochain complex of an associative ring has a natural action by the singular chains of the little 2-cubes operad. In this paper we give an affirmative answer to this question. We also show that the topological Hochschild cohomology spectrum of an associative ring spectrum has an action of an operad equivalent to the little 2-cubes.