Nickolas Hein, Christopher J. Hillar, Abraham Martín del Campo, Frank Sottile, Zach Teitler. The monotone secant conjecture in the real Schubert calculus. Exp. Math. 24 (2015), no. 1, 261-269
https://arxiv.org/abs/1109.3436
10.1080/10586458.2014.980044

(Extended version of abstract presented at MEGA 2011.)