Gribov ambiguities and the fundamental domain

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This lecture is dedicated to the memory of Vladimir Gribov. We discuss the procedure of complete gauge fixing to avoid Gribov copies, as well as results for the low-lying glueball spectrum in intermediate volumes for the torus and for the sphere that became available recently.
18p with 8 figs. Lecture delivered at the NATO ASI ``Confinement, Duality and Non-perturbative Aspects of QCD'', Newton Institute, Cambridge, UK, 23 June - 4 July, 1997

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