Alternate Heegaard genus bounds distance
Alternate Heegaard genus bounds distance
Suppose M is a compact orientable irreducible 3-manifold with Heegaard splitting surfaces P and Q.Then either Q is isotopic to a possibly stabilized or boundarystabilized copy of P or the distance d.P / Ä 2genus.Q/.More generally, if P and Q are bicompressible but weakly incompressible connected closed separating surfaces in …