The Group of Large Diffeomorphisms in General Relativity
Volume 39 / 1997
Banach Center Publications 39 (1997), 303-315 DOI: 10.4064/-39-1-303-315
We investigate the mapping class groups of diffeomorphisms fixing a frame at a point for general classes of 3-manifolds. These groups form the equivalent to the groups of large gauge transformations in Yang-Mills theories. They are also isomorphic to the fundamental groups of the spaces of 3-metrics modulo diffeomorphisms, which are the analogues in General Relativity to gauge-orbit spaces in gauge theories.