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Smooth 2-knots in 𝑆²×𝑆² with simply-connected complements are topologically unique

Smooth 2-knots in 𝑆²×𝑆² with simply-connected complements are topologically unique

For a given primitive homology class <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="xi"> <mml:semantics> <mml:mi>ΞΎ<!-- ΞΎ --></mml:mi> <mml:annotation encoding="application/x-tex">\xi</mml:annotation> </mml:semantics> </mml:math> </inline-formula> of <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper H 2 left-parenthesis upper S squared times upper S squared semicolon bold upper Z right-parenthesis"> <mml:semantics> <mml:mrow> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:msub> <mml:mi>H</mml:mi> <mml:mn>2</mml:mn> </mml:msub> </mml:mrow> …