Frontiers of Reality in Schubert Calculus
 
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References

[EG02a] A. Eremenko and A. Gabrielov, Rational functions with real critical points and the B. and M. Shapiro Conjecture in real enumerative geometry, Annals of Math. (2) 155 (2002), 105--129.
[EG02b] A. Eremenko and A. Gabrielov, Degrees of real Wronski maps, Discrete and Comput. Geom., 28 (2002), 331-347.
[EG02a] A. Eremenko and A. Gabrielov, Elementary proof of the B. and M. Shapiro Conjecture for rational functions, math.AG/0512370.
[EG02a] A. Eremenko and A. Gabrielov, M. Shapiro, and A. Vainshtein, Rational functions and real Schubert calculus, Proc. Amer. Math. Soc., 134 (2006), 949--957.
[EG02a] D. Laksov and S. Kleiman, Schubert calculus, Amer. Math. Monthly, 79 (1972), 1061--1082.
[MTV09a] E. Mukhin, V. Tarasov, and A. Varchenko, The B. and M. Shapiro Conjecture in real algebraic geometry and the Bethe Ansatz, Annals of Math. (2) 170 (2009), 863--881.
[MTV09b]  E. Mukhin, V. Tarasov, and A. Varchenko, Schubert Calculus and representations of the general linear group, J. Amer. Math. Soc. 22 (2009), 909--940.
[P]  K. Purbhoo, Reality and transversality for Schubert calculus in OG(n,2n+1), arXiv.org/0911.2039.
DMS-1001615 DMS-0922866 DMS-0915211 DMS-0701050
DMS-0538734 DMS-0134860 DMS-0079536 DMS-0070494