Lens spaces that cannot be obtained by two integral surgeries

Abstract

In this article, we demonstrate that there exists an infinite family of lens spaces L(p,q) that cannot be obtained from the 3-sphere by two integral surgeries. The first such lens space in our family is L(177,29).

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BibTeX RIS

BibTeX

@misc{golla2026lens,
  title = {{Lens spaces that cannot be obtained by two integral surgeries}},
  author = {Marco Golla and Marc Kegel},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.16431},
  eprint = {2610.16431},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.16431},
  note = {CC BY 4.0},
}

RIS

TY  - UNPB
TI  - Lens spaces that cannot be obtained by two integral surgeries
AU  - Marco Golla
AU  - Marc Kegel
PY  - 2026
DA  - 2026/10/19
PB  - arXiv
DO  - 10.48550/arxiv.2610.16431
UR  - https://arxiv.org/abs/2610.16431
AB  - In this article, we demonstrate that there exists an infinite family of lens spaces L(p,q) that cannot be obtained from the 3-sphere by two integral surgeries. The first such lens space in our family is L(177,29).
ER  -

Abstract

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