Genus two 3-manifolds are built from handle number one pieces. Sedgwick, Eric — 2001 Algebraic & Geometric Topology
Thin position for a connected sum of small knots. Rieck, Yo'av; Sedgwick, Eric — 2002 Algebraic & Geometric Topology
Sweepouts of amalgamated 3-manifolds. Bachman, David; Schleimer, Saul; Sedgwick, Eric — 2006 Algebraic & Geometric Topology