INDEX 199
Newton, Isaac, 34
Nishimura, Yasuzo, 78
node of a curve, 9
nondegenerate, 2, 49
nonnegative orthant, 83
numerical homotopy continuation, 172
order
Bruhat, 97, 125
cyclic, 184
orientable, 80
Pach, Janos, 112, 113
Pandharipande, Rahul, 77
partially ordered set, see also poset
Pieri formula, 144, 152
Pl¨ ucker embedding, 96
Pl¨ ucker, Julius, 165
point
inflection, 164
solitary, 9, 165, 166
Pollack, Ricky, 2
polynomial
Ehrhart, 31
sparse, 3, 26
univariate, 13
Wronski, 85
polynomial system
generic, 2
mixed, 3, 26
unmixed, 3
Wronski, 86
polytope
cross, 81
Newton, 3, 26
order, 92
poset, 91
Z2-graded, 93
linear extension, 92
sign-imbalance, 92
positive orthant, 49
preprime, 184
primitive, 5, 45
principal nilpotent, 179
problem of four lines, 6, 116, 163, 171, 181
projective space, 27
Puiseaux series, 34, 162
Puiseaux, Victor Alexandre, 34
Purbhoo, Kevin, 173, 174
quantum cohomology, 9
quantum Schubert Calculus, 118
ramification sequence, 131
Ran, Ziv, 8
rational normal curve, see also curve,
rational normal
real exponents, 65
regular polyhedral subdivision, 42
regular subdivision, 42
regular triangulation, 44
Rellich, Franz, 162
Richardson, Thomas, 54
Risler, Jean-Jacques, 50
Rojas, J. Maurice, 4, 54, 56
Ronga, Felice, 105
Roullier, Fabrice, 18
Roy, Marie-Fran¸ coise, 2, 54
Rusek, Korben, 54
sagbi degeneration, 98
Schechtman, Vadim, 154
scheme-theoretic limit, 40
Scherbak, Inna, 150
Schicho, Josef, 10
Schubert Calculus, 116, 118
Schubert cell, 125
Schubert condition, 117, 179
Grassmannian, 183
simple, 117, 122
special, 117
Schubert induction, 126, 152
Schubert problem, 117, 174, 179
Schubert variety, 117, 121, 126, 175, 179
simple, 117
special, 117, 144
Schubert, Hermann aser Hannibal, 5, 105,
124, 126, 128
separated subsets, 141
Sevostyanov, K., 54, 55
Shapiro Conjecture, see also Conjecture,
Shapiro
Shapiro, Boris, 6, 118, 161, 176
Shapiro, Michael, 6, 118, 141, 161, 170,
171, 176, 184
Shih, Justin, 54
Shub, Mike, 10
Shustin, Eugenii, 9, 77, 166
signature of a foldable triangulation, 85
Smale, Steve, 10, 172
Solomon, Jake, 10, 11, 77
Soprunova, Jenya, 11, 77
Sottile, Frank, see also author
Stanley, Richard, 92
Steiner, Jacob, 105
Stewart-Gough platform, 109
Stiefel manifold, 96, 125, 134
Sturm sequence, 16–18
Sturm, Jacques Charles Fran¸ cois, 16
Sturmfels, Bernd, 5, 45, 47, 48, 50, 51, 54,
98
subgroup
Borel, 179
parabolic, 179
subscheme, 63
subspace
isotropic, 173
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