Published October 2022
| public
Journal Article
The prism manifold realization problem III
Chicago
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Abstract
Every prism manifold can be parametrized by a pair of relatively prime integers p > 1 and q. In our earlier papers, we determined a complete list of prism manifolds P(p,q) that can be realized by positive integral surgeries on knots in S³ when q < 0 or q > p; in the present work, we solve the case when 0 < q < p. This completes the solution of the realization problem for prism manifolds.
Additional Information
This project started during Caltech's Summer Undergraduate Research Fellowships (SURF) program in the summer of 2017. Y.N. was partially supported by NSF grant numbers DMS-1252992 and DMS-1811900. F.V. was partially supported by an AMS-Simons Travel Grant. We thank the referee for many helpful suggestions.Additional details
- Eprint ID
- 116712
- Resolver ID
- CaltechAUTHORS:20220906-252468000
- Caltech Summer Undergraduate Research Fellowship (SURF)
- NSF
- DMS-1252992
- NSF
- DMS-1811900
- American Mathematical Society
- Created
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2022-12-08Created from EPrint's datestamp field
- Updated
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2022-12-08Created from EPrint's last_modified field