A connectedness property of algebraic moment maps

Let a connected reductive group G act on the smooth connected variety X. The cotangent bundle of X is a Hamiltonian G-variety. We show that its "total moment map" has connected fibers.

This is an expanded version of §6 of my paper Weyl groups of Hamiltonian manifolds, I.

Appeared in: J. Algebra 258 (2002) 122-136

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Last updated: November 18, 2002