Homology spheres and property R
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- by Min Hoon Kim and JungHwan Park PDF
- Proc. Amer. Math. Soc. 149 (2021), 1323-1328 Request permission
Abstract:
We present infinitely many homology spheres which contain two distinct knots whose $0$-surgeries are $S^1 \times S^2$. This resolves a question posed by Kirby and Melvin in $1978$.References
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Additional Information
- Min Hoon Kim
- Affiliation: Department of Mathematics, Chonnam National University, Gwangju, Republic of Korea
- MR Author ID: 1067137
- Email: minhoonkim@jnu.ac.kr
- JungHwan Park
- Affiliation: Department of Mathematical Sciences, KAIST, 291 Daehak-ro Yuseong-gu, Daejeon, 34141, South Korea
- MR Author ID: 1188099
- Email: jungpark0817@gmail.com
- Received by editor(s): April 28, 2020
- Received by editor(s) in revised form: June 22, 2020
- Published electronically: December 31, 2020
- Additional Notes: This project started when the first named author was visiting the Georgia Institute of Technology and he thanks the Georgia Institute of Technology for its generous hospitality and support.
- Communicated by: Shelley Harvey
- © Copyright 2020 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 149 (2021), 1323-1328
- MSC (2020): Primary 57K10, 57K31, 57K32
- DOI: https://doi.org/10.1090/proc/15299
- MathSciNet review: 4211884