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Cobordism invariants, the Kervaire invariant and fixed point free involutions

Cobordism invariants, the Kervaire invariant and fixed point free involutions

Conditions are found which allow one to define an absolute version of the Kervaire invariant in <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper Z 2"> <mml:semantics> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:msub> <mml:mi>Z</mml:mi> <mml:mn>2</mml:mn> </mml:msub> </mml:mrow> <mml:annotation encoding="application/x-tex">{Z_2}</mml:annotation> </mml:semantics> </mml:math> </inline-formula> of a <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="Wu hyphen left-parenthesis q plus 1 right-parenthesis"> <mml:semantics> …