Delooping totalization of a multiplicative operad

2010/12/29 by Victor Tourtchine, Tourtchine, Victor · 1 citation
Mathematics · #57Q45 #Algebraic Topology (math.AT) #FOS: Mathematics #Primary 18D50 #Quantum Algebra (math.QA) #Secondary: 55P48 #math.AT #math.QA #msc:18D50 #msc:55P48 #msc:57Q45

paper · pdf · doi:10.48550/arxiv.1012.5957

58 pages, minor corrections

arxiv created 2010/12/30 · arxiv updated 2011/01/04

Abstract

The paper shows that under some conditions the totalization of a cosimplicial space obtained from a multiplicative operad is a double loop space of the space of derived morphisms from the associative operad to the operad itself.

Cited by

• Condensation of the operad for multiplicative hyperoperads

Related

• The topological cyclic Deligne conjecture
• Mapping spaces between operads in relation to bimodules
• The partition poset complex and the Goodwillie derivatives of the identity in spaces
• Operads and cosimplicial objects: an introduction
• Operads, homotopy algebra and iterated integrals for double loop spaces