PreprintarXiv licencearXiv
Non-simply connected Poincaré surgery
Abstract
We give homotopy-theoretic proofs of the principal results of non-simply connected Poincaré surgery. These include the Fundamental Theorem of Poincaré surgery, the Poincaré transversality exact sequence, and the construction of Poincaré handle structures. All results apply in dimensions~≥ 8.
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BibTeX
@misc{klein2026nonsimply,
title = {{Non-simply connected Poincaré surgery}},
author = {John R. Klein},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.21100},
eprint = {2610.21100},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.21100},
}
RIS
TY - UNPB
TI - Non-simply connected Poincaré surgery
AU - John R. Klein
PY - 2026
DA - 2026/10/16
PB - arXiv
DO - 10.48550/arxiv.2610.21100
UR - https://arxiv.org/abs/2610.21100
AB - We give homotopy-theoretic proofs of the principal results of non-simply connected Poincaré surgery. These include the Fundamental Theorem of Poincaré surgery, the Poincaré transversality exact sequence, and the construction of Poincaré handle structures. All results apply in dimensions~≥ 8.
ER -