In this paper, we present a new approach to the construction of Einstein metrics by a generalization of Thurston's Dehn filling. In particular in dimension 3, we will obtain an analytic proof of Thurston's result.
Cite this article
Richard H. Bamler, Construction of Einstein metrics by generalized Dehn filling. J. Eur. Math. Soc. 14 (2012), no. 3, pp. 887–909DOI 10.4171/JEMS/321