A product formula for generalizations of the Kervaire invariant
A product formula for generalizations of the Kervaire invariant
Formulas are developed for the Arf invariant of the product of two manifolds in terms of invariants of the factors. If the Wu orientations are carefully chosen the formula is <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="sigma left-parenthesis upper M times upper N right-parenthesis equals sigma left-parenthesis upper M right-parenthesis sigma left-parenthesis …