CaltechAUTHORS
Published October 2022 | Version public
Journal Article Metadata-only

The prism manifold realization problem III

Creators

  • 1. ROR icon Princeton University
  • 2. ROR icon California Institute of Technology
  • 3. ROR icon The University of Texas at Austin
  • 4. ROR icon Duke University

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

Identifiers

Eprint ID
116712
Resolver ID
CaltechAUTHORS:20220906-252468000

Related works

Describes
https://arxiv.org/abs/1808.05321 (URL)

Funding

Caltech Summer Undergraduate Research Fellowship (SURF)
NSF
DMS-1252992
NSF
DMS-1811900
American Mathematical Society

Dates

Created
2022-12-08
Created from EPrint's datestamp field
Updated
2022-12-08
Created from EPrint's last_modified field

Caltech Custom Metadata

Caltech groups
Mathematics Department