For C2T/PT-symmetric Bloch bundles, rank two with nonzero Euler class has no exponentially localized symmetric Wannier basis, while every rank not equal to two does.
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Fragile topology on solid grounds: a mathematical perspective
For C2T/PT-symmetric Bloch bundles, rank two with nonzero Euler class has no exponentially localized symmetric Wannier basis, while every rank not equal to two does.