Workshop Contents Listing for Low-Dimensional Topology

Definitions and mathematical statement

The supplied record contains no recoverable mathematical statement. Its statement field is a table-of-contents fragment beginning with the isolated word "conjecture" and a reference to page 2541. No conjecture, mathematical objects, definitions, hypotheses, domains, boundary conditions, quantifiers, or conclusion are specified. Consequently, a precise mathematical problem cannot be formulated from this evidence.

The fragment also contains the names Paula Truöl and Laura Wakelin, the titles "Notions of braid positivity and knot concordance" and "The Dehn surgery characterisation problem", page references 2543 and 2546, and the heading "Invariants and Structures in Low-Dimensional Topology" with page reference 2517. These contents entries do not identify the missing conjecture or establish its authorship.

The supplied statement status is "unrecoverable", and no clean statement is supplied. The supplied verification note reports that the official report confirms the extraction is a contents-listing fragment rather than a mathematical problem; that verification is recorded here as supplied information, not independently confirmed. The registry label "open" reflects normalization of an unresolved extraction and does not establish that an identifiable mathematical conjecture is open.

Short English statement

This record preserves a workshop contents fragment, not a recoverable conjecture. Its mathematical claim and attribution remain unspecified, so a statement-only draft can document the missing information but cannot state a precise problem. The supplied "open" label is a curation label requiring review.

Sources

• Local UnsolvedMath registry: permanent ID 30006050, source problem code catalogue entry, title "Workshop Contents Listing for Low-Dimensional Topology", collection "Oberwolfach Reports Open Problems". Repository registry references: data/unsolvedmath/problems.json and catalog/problems.json; the supplied complete record is the evidence used here.
• Supplied source citation: MATRIX-MFO Tandem Workshop: Invariants in Low-Dimensional Topology: Combinatorics, Geometry, and Computation (2025), Oberwolfach Reports, DOI 10.4171/owr/2024/43, pp. 2511--2550. https://doi.org/10.4171/owr/2024/43. The background describes Oberwolfach Reports as documenting mathematical workshops and their open-problem discussions.
• Supplied literature source: "Oberwolfach Report 43 (2024)", https://doi.org/10.4171/owr/2024/43. Literature checked at: 2026-08-22. This date and the assessment are supplied dated curation, not independently verified. The assessment says that the extracted contents fragment contains only the word "conjecture" as a potential claim marker, supplies no identifiable mathematical claim, and has unresolved status normalized to "open". The supplied background requests independent verification of time-sensitive status and cited claims.
• Attribution remains unresolved: no proposer is supplied. The record gives proposed year 2024, while the source citation labels the workshop 2025 and the literature-source label identifies the report as 2024. No authoritative citation identifying a mathematical conjecture within this fragment is supplied.