Resumen de Heegaard splittings of the pair of the solid torus and the core loop

Chuichiro Hayashi, K. Shimokawa

• We show that any Heegaard splitting of the pair of the solid torus (@D2¿S1) and its core loop (an interior point ¿S1) is standard, using the notion of Heegaard splittings of pairs of 3-manifolds and properly imbedded graphs, which is defined in this paper.