Statements (25)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
surface
simple closed curve |
| gptkbp:category |
mapping class group generators
surface homeomorphisms |
| gptkbp:field |
gptkb:topology
geometric topology low-dimensional topology |
| gptkbp:heldBy |
homeomorphism
|
| https://www.w3.org/2000/01/rdf-schema#label |
Dehn twist
|
| gptkbp:introducedIn |
20th century
|
| gptkbp:namedAfter |
gptkb:Max_Dehn
|
| gptkbp:notation |
T_γ (for a curve γ)
|
| gptkbp:operator |
self-homeomorphism
|
| gptkbp:property |
acts trivially outside a neighborhood of the curve
involves cutting and regluing along a curve orientation-preserving |
| gptkbp:relatedTo |
gptkb:Nielsen–Thurston_classification
gptkb:pseudo-Anosov_map braid group |
| gptkbp:usedIn |
gptkb:Teichmüller_theory
gptkb:moduli_space_of_Riemann_surfaces mapping class group |
| gptkbp:bfsParent |
gptkb:mapping_class_group
|
| gptkbp:bfsLayer |
6
|