%0 Journal Article %T Eigenvalue resolution of self-adjoint matrices %A Xuwen Zhu %J Mathematics %D 2015 %I arXiv %X Resolution of a compact group action in the sense described by Albin and Melrose is applied to the conjugation action by the unitary group on self-adjoint matrices. It is shown that the eigenvalues are smooth on the resolved space and that the trivial bundle smoothly decomposes into the direct sum of global one-dimensional eigenspaces. %U http://arxiv.org/abs/1504.07581v1