PreprintCC BY 4.0arXiv
Higher smooth surgery structure sets of complex projective spaces, part II
Abstract
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.
Related
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- Exotic smooth structures on complex projective spaces
- Smooth projective surfaces with bounded cohomology property II
- Deformations of the logarithmic tangent bundle of smooth projective surfaces
- Characteristic-free characterizations of projective space for smooth toric varieties
BibTeX
@misc{kaluzny2026higher,
title = {{Higher smooth surgery structure sets of complex projective spaces, part II}},
author = {Samuel Kalužný and Tibor Macko},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.01505},
eprint = {2609.01505},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.01505},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Higher smooth surgery structure sets of complex projective spaces, part II
AU - Samuel Kalužný
AU - Tibor Macko
PY - 2026
DA - 2026/09/01
PB - arXiv
DO - 10.48550/arxiv.2609.01505
UR - https://arxiv.org/abs/2609.01505
AB - 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.
ER -