Culler–Shalen theory

GPTKB entity

Statements (17)
Predicate Object
gptkbp:instanceOf gptkb:logic
gptkbp:appliesTo 3-manifolds
gptkbp:describes relationship between character varieties and essential surfaces in 3-manifolds
gptkbp:field gptkb:3-manifold_topology
geometric topology
https://www.w3.org/2000/01/rdf-schema#label Culler–Shalen theory
gptkbp:introducedIn 1983
gptkbp:namedAfter gptkb:Marc_Culler
gptkb:Peter_Shalen
gptkbp:notablePublication Varieties of group representations and splittings of 3-manifolds (Annals of Mathematics, 1983)
gptkbp:provides method to construct essential surfaces from ideal points of character varieties
gptkbp:relatedTo gptkb:algebraic_geometry
low-dimensional topology
representation varieties
gptkbp:uses SL(2,C) character varieties
gptkbp:bfsParent gptkb:Peter_Shalen
gptkbp:bfsLayer 6