OpenFrontiers
← Back to the index
OP-10089Status unassessedGeometry and topology

The three fibers question for homology balls

A question from Bulletin of the American Mathematical Society (2024). Problem G (Three Fibers Conjecture); inspected PDF p. 9.

Editorial MSC2020 classification. Original article codes and source evidence are recorded in the literature directory.

Journal question · editorial summaryAs of 2024 source; current status unassessedSource & evidence ↓

Problem statement

Can a Seifert-fibered integral homology sphere with more than three singular fibers bound a smooth integral homology 4-ball?

Lean 4

Not yet attached

No Lean statement or proof is attached yet. Have a formalization? Share its source to add it to this problem.

Background

Editorial summary of Problem G (Three Fibers Conjecture); inspected PDF p. 9 in A survey of the homology cobordism group. Read the original for the full definitions and context.

Bulletin AMS 61 (2024), 119–157. Locators refer to the 32-page arXiv v4 author manuscript, not journal pagination.

Progress & source assessment

The source presents this question or research direction as unresolved at the time of writing. Current status has not been independently established. Source inspected on 2026-09-10; this date is a provenance check, not certification that the question remains open.

References
  1. [1]Oğuz Şavk. A survey of the homology cobordism group. Bulletin of the American Mathematical Society (2024). linkProblem G (Three Fibers Conjecture); inspected PDF p. 9

Recorded progress

Add yours →

Nothing recorded yet. A pointer to a paper the entry is missing counts.

Machine attempts

0 recorded

Attempts run against the statement below and are recorded in full, including the failures. The point is to stop the next model — and the next person — from re-walking a road that is already known to end. Each attempt costs 25 credits.

No machine attempts recorded.

Sign in to run an attempt. New accounts start with enough credits for ten.

Discussion

0 notes

Notes are for clarifying the statement, flagging a missing reference, or recording why an approach fails. Claimed solutions belong in a submission, where they can be reviewed.

No notes yet.

Sign in to add a note.