Lickorish
E665086
Lickorish is a mathematician known for his influential contributions to low-dimensional topology and knot theory.
All labels observed (2)
| Label | Occurrences |
|---|---|
| Lickorish canonical | 1 |
| Lickorish’s generating set for mapping class groups | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T7450474 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Lickorish Context triple: [HOMFLY-PT polynomial, namedAfter, Lickorish]
-
A.
Wirtinger presentation of knot groups
The Wirtinger presentation of knot groups is a classical method in knot theory that describes the fundamental group of a knot complement using generators and relations derived from a knot diagram.
-
B.
Hoste–Thistlethwaite–Weeks knot tables
The Hoste–Thistlethwaite–Weeks knot tables are comprehensive, systematically generated lists of prime knots (and links) organized by crossing number, widely used as a modern extension and refinement of classical knot tabulations in knot theory.
-
C.
Vaughan Jones
Vaughan Jones was a New Zealand mathematician renowned for his groundbreaking work in knot theory and operator algebras, for which he received the Fields Medal.
-
D.
Dowker–Thistlethwaite notation
Dowker–Thistlethwaite notation is a numerical encoding system used in knot theory to uniquely represent knot diagrams and facilitate their classification and study.
-
E.
Kauffman polynomial
The Kauffman polynomial is a two-variable knot invariant in knot theory that generalizes and extends the information captured by the Jones polynomial.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Lickorish Target entity description: Lickorish is a mathematician known for his influential contributions to low-dimensional topology and knot theory.
-
A.
Wirtinger presentation of knot groups
The Wirtinger presentation of knot groups is a classical method in knot theory that describes the fundamental group of a knot complement using generators and relations derived from a knot diagram.
-
B.
Hoste–Thistlethwaite–Weeks knot tables
The Hoste–Thistlethwaite–Weeks knot tables are comprehensive, systematically generated lists of prime knots (and links) organized by crossing number, widely used as a modern extension and refinement of classical knot tabulations in knot theory.
-
C.
Vaughan Jones
Vaughan Jones was a New Zealand mathematician renowned for his groundbreaking work in knot theory and operator algebras, for which he received the Fields Medal.
-
D.
Dowker–Thistlethwaite notation
Dowker–Thistlethwaite notation is a numerical encoding system used in knot theory to uniquely represent knot diagrams and facilitate their classification and study.
-
E.
Kauffman polynomial
The Kauffman polynomial is a two-variable knot invariant in knot theory that generalizes and extends the information captured by the Jones polynomial.
- F. None of above. chosen
Statements (30)
| Predicate | Object |
|---|---|
| instanceOf |
human
ⓘ
mathematician ⓘ |
| areaOfInfluence |
geometric topology
ⓘ
topological methods in 3-manifolds ⓘ |
| authorOf | An Introduction to Knot Theory ⓘ |
| awardReceived | Senior Whitehead Prize ⓘ |
| countryOfCitizenship | United Kingdom ⓘ |
| educatedAt |
University of Cambridge
ⓘ
linked to:
Cambridge University
|
| employer |
University of Cambridge
ⓘ
linked to:
Cambridge University
|
| familyName |
Lickorish
ⓘ
linked to:
W. B. R. Lickorish
|
| fieldOfWork |
3-manifold topology
ⓘ
knot theory ⓘ low-dimensional topology ⓘ mathematics ⓘ |
| genre | mathematics textbook ⓘ |
| givenName | William Bernard Raymond ⓘ |
| influenced |
development of modern knot theory
ⓘ
study of 3-manifolds via Dehn surgery ⓘ |
| knownFor |
Lickorish twist theorem
ⓘ
linked to:
Dehn–Lickorish theorem
Lickorish–Wallace theorem ⓘ results on 3-manifolds ⓘ work in knot theory ⓘ work in low-dimensional topology ⓘ |
| languageOfWorkOrName | English ⓘ |
| memberOf | London Mathematical Society ⓘ |
| notableWork |
An Introduction to Knot Theory
ⓘ
Lickorish twist theorem ⓘ
linked to:
Dehn–Lickorish theorem
Lickorish–Wallace theorem ⓘ |
| occupation |
researcher
ⓘ
university teacher ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: Lickorish Description of subject: Lickorish is a mathematician known for his influential contributions to low-dimensional topology and knot theory.
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.
linked to: Lickorish