A connectedness property of algebraic moment maps
classification
🧮 math.AG
math.RTmath.SG
keywords
connectedhamiltonianmomentalgebraicbundleconnectednesscotangentdg-ga
read the original abstract
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 section 6 of my paper dg-ga/9712010 on Weyl groups of Hamiltonian manifolds.
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