Rational homology balls in $2$-handlebodies

Abstract

We prove that there are rational homology balls $B_p$ smoothly embedded in the $2$-handlebodies associated to certain knots. Furthermore we show that, if we rationally blow up the $2$-handlebody along the embedded rational homology ball $B_p$, then the resulting $4$-manifold cannot be obtained just by a sequence of ordinary blow ups from the $2$-handlebody under a certain mild condition.

6 pages

References in corpus (1)

• Corks, Plugs and exotic structures

Cited by in corpus (1)

• Simple embeddings of rational homology balls and antiflips