arXiv
Open Access
2025
Non-Simple knots in Contact 3-Manifolds
Ipsita Datta
Tanushree Shah
Abstrak
We present new families of examples of non-simple prime Legendrian and transversal knots in tight Lens spaces, which demonstrate that the botany of Legendrians in Lens space is rich. In fact, there are more non-isotopic Legendrians that are topologically isotopic to the $n$-twist knot in a Lens space $L(α, β)$ than in $S^3$. We also include connect sum formulas for rational variants of classical invariants, $\mathrm{tb}_\mathbb{Q}$, $\mathrm{rot}_\mathbb{Q}$, and $\mathrm{sl}_\mathbb{Q}$, which indicate that prime knots are the right playground to look for exotic behaviour.
Penulis (2)
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Ipsita Datta
T
Tanushree Shah
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2025
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- en
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- arXiv
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- Open Access ✓