vix.ing · top · new · best · stats · spec

Operads and cosimplicial objects: an introduction

2004/02/07 by James E. McClure, Jeffrey H. Smith
Mathematics · #math.QA #math.AT #msc:18D50 #msc:55P48

paper · pdf

published as Axiomatic, Enriched and Motivic Homotopy Theory. Proceedings of a NATO Advanced Study Institute. Edited by J.P.C. Greenlees. Kluwer 2004

arxiv created 2004/02/07 · arxiv updated 2009/12/01

Abstract

This paper is an introduction to a series of papers in which we give combinatorial models for certain important operads (including A-infinity and E-infinity operads, the little n-cubes operads, and the framed little disks operad) and combinatorial conditions for them to act on a given space or chain complex. The paper does not assume any prior knowledge of operads--Sections 2, 6 and 9, which can be read independently, are an introduction to the theory of operads.

Related