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A congruence modulo four in real Schubert calculus
Abstract We establish a congruence modulo four in the real Schubert calculus on the Grassmannian of m -planes in <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mrow> <m:mn>2</m:mn> <m:mi>m</m:mi> </m:mrow> </m:math> $2m$ -space. This congruence holds for fibers of the Wronski map and a generalization to what we call symmetric Schubert problems. This strengthens the …