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Showing 1 to 3 of 3 for “"Curve Neighborhoods"”.
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The Combinatorial Curve Neighborhoods of Affine Flag Manifold in Type A<sub>n-1</sub><sup>(1)</sup>
… Weyl group W<sub>aff</sub> and the torus stable curves in X. Given a fixed point u ∈ W<sub>aff</sub> and a degree d = (d₀, d₁, ..., d<sub>n−1</sub>) ∈ ℤ<sub>≥0</sub><sup>n</sup>, the combinatorial curve neighborhood is the set of maximal elements in the moment graph of X which can be reached from …
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The moment graph for Bott-Samelson varieties and applications to quantum cohomology
… in arbitrary Lie type. We use this, along with curve neighborhoods and explicit moduli space computations, to compute a presentation for the small quantum cohomology ring of a particular Bott-Samelson variety in Type A.
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Equivariant Quantum Cohomology of the Odd Symplectic Grassmannian
… IG(k, 2n + 2). We use the technique of curve neighborhoods to prove a Chevalley formula in the equivariant quantum cohomology of IG, i.e. a formula to multiply a Schubert class by the Schubert divisor class. This generalizes a formula of Pech in the case k = 2, and it gives an algorithm …