lo-Graph Atlas EN JA

Area 3

Closed 3-manifolds

How do Hopf-algebra operators encode a manifold?

Object
M
Diagram
Normal o-graph
Algebra
Heisenberg double
Special element
W operator
Invariant
MST / Kuperberg
Moves
MP · PS · CP
S³ S³ 1 vert. · ⟨ 2 | 2 ⟩ L(2,1) L(2,1) 2 vert. · ⟨ 4 | 4 ⟩ L(3,1) L(3,1) 3 vert. L(3,2) L(3,2) 3 vert. S² × S¹ S² × S¹ 4 vert. · ⟨ 8 | 8 ⟩ Poincaré Poincaré 5 vert.