Foliations of Three-Manifolds Which Are Circle Bundles
E518461
"Foliations of Three-Manifolds Which Are Circle Bundles" is William Thurston’s influential 1972 doctoral dissertation in geometric topology, where he developed foundational ideas about the structure and classification of foliations on 3-manifolds.
Observed surface forms (1)
| Surface form | Occurrences |
|---|---|
| William P. Thurston | 0 |
Statements (42)
| Predicate | Object |
|---|---|
| instanceOf |
doctoral dissertation
ⓘ
mathematician ⓘ mathematics dissertation ⓘ work in geometric topology ⓘ |
| academicDegree | PhD ⓘ |
| academicStatus | unpublished dissertation manuscript ⓘ |
| advisor | Morris W. Hirsch NERFINISHED ⓘ |
| associatedConcept |
Seifert fibered 3-manifolds
ⓘ
surface bundles and circle bundles ⓘ |
| author | William P. Thurston NERFINISHED ⓘ |
| authorInstanceOf | William P. Thurston NERFINISHED ⓘ |
| contribution |
clarified the structure of foliations transverse to circle fibers
ⓘ
developed classification results for foliations on circle bundles over surfaces ⓘ influenced later work on 3-manifold topology and geometry ⓘ introduced influential techniques for studying foliations on 3-manifolds ⓘ |
| countryOfOrigin |
United States of America
ⓘ
surface form:
United States
|
| field |
3-manifold topology
ⓘ
foliation theory ⓘ geometric topology ⓘ |
| genre | research thesis ⓘ |
| hasPart |
classification results for foliations on circle bundles
ⓘ
examples and constructions of foliations on 3-manifolds ⓘ introduction to foliations on 3-manifolds ⓘ |
| impact | considered an early foundational work of Thurston in 3-manifold theory ⓘ |
| influenced |
development of Thurston’s later work on 3-manifolds
ⓘ
subsequent research in foliation theory ⓘ |
| institution | University of California, Berkeley NERFINISHED ⓘ |
| language | English ⓘ |
| relatedTo |
Reeb components in foliations
ⓘ
Seifert fiber space theory ⓘ Thurston’s later geometrization ideas ⓘ taut foliations on 3-manifolds ⓘ |
| supervisingInstitution | Department of Mathematics, University of California, Berkeley NERFINISHED ⓘ |
| timePeriod | 20th-century mathematics ⓘ |
| topic |
Reebless foliations
ⓘ
circle bundles over surfaces ⓘ classification of foliations on Seifert fibered spaces ⓘ codimension-one foliations ⓘ foliations of 3-manifolds ⓘ taut foliations ⓘ topology of 3-manifolds that are circle bundles over surfaces ⓘ |
| yearCompleted | 1972 ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.