分野別セミナー

Haken's Theorem shows that if a 3-manifold $M$ is reducible, then for
any Heegaard surface $P$ of $M$, there is an essential 2-sphere $S2$ such

that the intersection of $S2$ and $P$ is a circle.
Analogous results are given for the intersections of essential
surfaces with larger complexities and Heegaard sufaces by several

authors.
In this talk, we will introduce a formulation for searching similar
results for the intersections of essential laminations and Heegaard surfaces,
and give a result for genus 2 Heegaard surfaces.