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PreprintCC BY 4.0arXiv

Links of Mazur manifolds and exotica

  • Sergey Nersisyan
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Abstract

In this paper, we explore links of Mazur manifolds in simple 4-manifolds. We construct non-split 2-component links in S4. These are used to produce links in #n ℂ ℙ2 which are split topologically but not smoothly. As a consequence, we obtain exotic pairs of simply connected, definite 4-manifolds with boundary, as well as exotic embeddings of various Mazur manifolds in S4.

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Cite

BibTeXRIS
BibTeX
@misc{nersisyan2026links,
  title = {{Links of Mazur manifolds and exotica}},
  author = {Sergey Nersisyan},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2606.24220},
  eprint = {2606.24220},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2606.24220},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Links of Mazur manifolds and exotica
AU  - Sergey Nersisyan
PY  - 2026
DA  - 2026/09/19
PB  - arXiv
DO  - 10.48550/arxiv.2606.24220
UR  - https://arxiv.org/abs/2606.24220
AB  - In this paper, we explore links of Mazur manifolds in simple 4-manifolds. We construct non-split 2-component links in S^4. These are used to produce links in #^n ℂ ℙ^2 which are split topologically but not smoothly. As a consequence, we obtain exotic pairs of simply connected, definite 4-manifolds with boundary, as well as exotic embeddings of various Mazur manifolds in S^4.
ER  -