Birman exact sequence

GPTKB entity

Statements (18)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appearsIn gptkb:Braids,_Links,_and_Mapping_Class_Groups_(book)
gptkbp:appliesTo oriented surfaces
gptkbp:category exact sequence
gptkbp:describes relationship between mapping class groups of surfaces with and without punctures
gptkbp:field gptkb:topology
geometric topology
gptkbp:form 1 → π₁(S) → Mod(S₁) → Mod(S) → 1
1 → π₁(Homeo₀(S, x₀)) → π₁(Homeo(S, x₀)) → π₁(Homeo(S)) → 1
https://www.w3.org/2000/01/rdf-schema#label Birman exact sequence
gptkbp:namedAfter gptkb:Joan_Birman
gptkbp:publishedIn 1974
gptkbp:relatedTo gptkb:surface_braid_group
mapping class group
gptkbp:usedIn low-dimensional topology
study of surface diffeomorphisms
gptkbp:bfsParent gptkb:Joan_Birman
gptkbp:bfsLayer 6