Kaydedildi:
| Yazar: | |
|---|---|
| Materyal Türü: | Preprint |
| Baskı/Yayın Bilgisi: |
2017
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| Konular: | |
| Online Erişim: | https://arxiv.org/abs/1703.05596 |
| Etiketler: |
Etiketle
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İçindekiler:
- We study cosmetic contact surgeries along transverse knots in the standard contact 3-sphere, i.e. contact surgeries that yield again the standard contact 3-sphere. The main result is that we can exclude non-trivial cosmetic contact surgeries along all transverse knots not isotopic to the transverse unknot with self-linking number -1. As a corollary it follows that every transverse knot in the standard contact 3-sphere is determined by the contactomorphism type of its exteriors. Moreover, we give counterexamples to this for transverse links in the standard contact 3-sphere.