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Abstract

In this chapter, we examine the properties of the image of the moment map for a Hamiltonian torus action. One prototype was the Schur–Horn theorem [1, 2]: Given a skew Hermitian matrix with prescribed eigenvalues, the diagonal entries form the convex hull of the set of permutations of the eigenvalues.

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References

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Correspondence to Lisa C. Jeffrey .

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Dwivedi, S., Herman, J., Jeffrey, L.C., van den Hurk, T. (2019). Convexity . In: Hamiltonian Group Actions and Equivariant Cohomology. SpringerBriefs in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-030-27227-2_7

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