arXiv
Open Access
2025
Dehn surgery functions are never injective
Kyle Hayden
Lisa Piccirillo
Laura Wakelin
Abstrak
We prove that, for each fixed rational number $p/q \in \mathbb{Q}$, there exists a pair of distinct knots whose $p/q$-surgeries are orientation-preservingly homeomorphic. This confirms a 1978 conjecture of Gordon.
Topik & Kata Kunci
Penulis (3)
K
Kyle Hayden
L
Lisa Piccirillo
L
Laura Wakelin
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2025
- Bahasa
- en
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- arXiv
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- Open Access ✓