Notes on Sela's work: Limit groups and Makanin-Razborov diagrams
arXiv:0809.0467
Abstract
This is the first in a planned series of papers giving an alternate approach to Zlil Sela's work on the Tarski problems. The present paper is an exposition of work of Kharlampovich-Myasnikov and Sela giving a parametrization of Hom(G,F) where G is a finitely generated group and F is a non-abelian free group.
33 pages, 2 figures