arXiv subjects

Samuel Kalužný

Publications and source records attributed to Samuel Kalužný.

2 recordsLinked to original sources

arXiv2026

Higher smooth surgery structure sets of complex projective spaces, part II

We determine the torsion part of the higher smooth surgery structure sets of complex projective spaces (up to some extension problems) and complete the description of the forgetful map to their topological versions in low dimensions. In addition, an application to mapping class groups of complex projective spaces in low dimensions is presented.

math.AT↗

arXiv2026

Higher Smooth Surgery Structure Sets of Complex Projective Spaces, Part I

This is the first of the two articles where we determine the higher smooth surgery structure sets of complex projective spaces (up to some extension problems) and the forgetful map to their topological versions in low dimensions. In this part, we concentrate on the free subgroup, where we obtain information in all dimensions. In the second part, we study the torsion.

math.AT↗