arXiv (All)
open access
A note on realizing triples of slice, concordance and Seifert genera
We show that every triple of integers $(a,b,c)$ satisfying $1\leq a\leq b\leq c$ is realized as the smooth slice genus, smooth concordance genus, and Seifert genus of a knot, respectively. This proves a conjecture of Kearney.
Conceptio Open Archive
Analyze & explore related research in Conceptio
Connect this record directly into your research workflow or AI agent. Explore citations across open repositories, query full text, and export structured proof bundles.
This document is indexed with metadata only: full text is not available in the archive for this record. Open the official source ↗
Related documents
- Constructibility aspects of the cone conjecture#1215401
- Blaschke Conjecture and Complex Geometry#1050014
- On possible values of the signature of flat unitary bundles over compact surfaces#1109544
- Small Lefschetz fibrations on the BMY line#1186575
- Exchange complexes and contractibility of the complex of incompressible Seifert surfaces#1070940
Record · ID 1249129
Retrieved via Conceptio: every document is proof-bundled with source, license, and retrieval metadata.
Retrieved via Conceptio: every document is proof-bundled with source, license, and retrieval metadata.
Bring this data into your agent: Connect via MCP or API · 20 free credits to start · no card required
Read the Docs → · View CLI source on GitHub · Conceptio Open Knowledge Archive
Read the Docs → · View CLI source on GitHub · Conceptio Open Knowledge Archive