Operads and cosimplicial objects: an introduction.
James E. McClure and Jeffrey H. Smith
AMS Classification Numbers 18D50; 55P48
Submitted to arXiv: math.QA/0402117
Department of Mathematics
Purdue University
150 N. University Street
West Lafayette, IN 47907-2067
mcclure@math.purdue.edu jhs@math.purdue.edu
This paper is an introduction to a series of papers in which we have given
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.