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An n-component slice link is a link that bounds n disjoint discs in B^4. And the 4-genus of a link is defined to be the minimal genus of orientable surface surfaces bounded by K it in B^4. My question is: if the link bounds a surface with zero genus in B^4, is it necessarily a slice link? If not, any counter examples? |
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Is there any boundary If the 4-genus of a link that is NOT zero, is it a slice link?Why? An n-component slice link is a link that bounds n disjoint discs in B^4. And the 4-genus of a link is defined to be the minimal genus of orientable surface bounded by K in B^4. My question is: if the link bounds a surface with zero genus in B^4, is it necessarily a slice link? If not, any counterexamplescounter examples? |
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