Rational homology balls in 2-handlebodies

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...

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Bibliographic Details
Published in:Taehan Suhakhoe hoebo 2017, 54(6), , pp.1927-1933
Main Authors: 박희상, 신동수
Format: Article
Language:English
Subjects:
수학
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Summary: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. KCI Citation Count: 2
ISSN:1015-8634
2234-3016
DOI:10.4134/BKMS.b160509