Past exam of the mathematics course of the University of Cambridge / 2022 / iii / Paper 112 / 1 / i

Table of contents
- Solution i

Solution

Let

K_{1}

be the connected sum of

2022

trefoils. The trefoil has Seifert genus one, and additivity of Seifert genus gives

g_{s} (K_{1}) = 2022.

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