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A Congruence Modulo Four for Real Schubert Calculus with Isotropic Flags

  Published:2017-02-23
 Printed: Jun 2017
  • Nickolas Hein,
    Department of Mathematics and Computer Science, Benedictine College, Atchison, Kansas 66002, USA
  • Frank Sottile,
    Department of Mathematics, Texas A&M University, College Station, Texas 77843, USA
  • Igor Zelenko,
    Department of Mathematics, Texas A&M University, College Station, Texas 77843, USA
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Abstract

We previously obtained a congruence modulo four for the number of real solutions to many Schubert problems on a square Grassmannian given by osculating flags. Here, we consider Schubert problems given by more general isotropic flags, and prove this congruence modulo four for the largest class of Schubert problems that could be expected to exhibit this congruence.
Keywords: Lagrangian Grassmannian, Wronski map, Shapiro Conjecture Lagrangian Grassmannian, Wronski map, Shapiro Conjecture
MSC Classifications: 14N15, 14P99 show english descriptions Classical problems, Schubert calculus
None of the above, but in this section
14N15 - Classical problems, Schubert calculus
14P99 - None of the above, but in this section
 

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