Dehn surgery (Ex)
From Manifold Atlas
of the boundary tori. Orienting , let be a right-handed meridean and a -framed copy of pushed to the boundary of . A Lens space is defined to be the effect of Dehn surgery on the standard embedding with such that
1) Show , .
2) Prove the `slam dunk' - that the combined effect of the two surgeries on the Hopf link in with framings and on the respective components is the Lens space . Hence show that any Lens space is null-cobordant.
Hint: It may help to prove that so that we can unambiguously consider the Dehn surgery generating the space as `-surgery' on the embedded .