可约的Dehn手术与含本质环面的Dehn手术

Reducible Dehn Surgery and Toroidal Dehn Surgery

设M为紧致、可定向、不可约、不可约、不含本质平环及本质环面的3-流形，并且M只有一个环面分文T0，证明了：如果r1，r2为T0上使M（r1）可约，且使M（r2）含有一个本质环面的两个斜度，则（r1，r2）≤3．

Let M be a compact, orientable, irreducible, airreducible, atoroidal, anannular 3-manifold with one component of M a torus.The present paper proves that if r1 and r2 are two slopes on T0,such that M(r1) is reducible and M(r2) contains an essential torus, then (r1,r2)≤3.