The free subgroup of higher smooth surgery structure sets of complex projective spaces is determined in all dimensions up to extension problems, together with the forgetful map to topological versions in low dimensions.
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Higher Smooth Surgery Structure Sets of Complex Projective Spaces, Part I
The free subgroup of higher smooth surgery structure sets of complex projective spaces is determined in all dimensions up to extension problems, together with the forgetful map to topological versions in low dimensions.