Minimal-diagram connected-sum crossing-number conjecture for links in thickened surfaces
Let L1⊂Σ1×IL_1\subset\Sigma_1\times IL1⊂Σ1×I and L2⊂Σ2×IL_2\subset\Sigma_2\times IL2⊂Σ2×I be links in thickened surfaces, and let D1,D2D_1,D_2D1,D2 be minimal-crossing representatives of L1,L2L_1,L_2L1,L2, respectively.…