homogeneous spaces
Quantum cohomology of minuscule homogeneous spaces
... complex homogeneous spaces has been studied by many people since the fundamental works of Witten and Kontsevich-Manin – see [Fu] for a ...certain homogeneous spaces are controlled by classical ...
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Dual varieties of subvarieties of homogeneous spaces
... x X under πQ ◦ µ. Since there is an incidence variety in G/P × G/Q (the closed G-orbit), any h ∈ G/Q still defines, exactly as in the classical situation, a subvariety Ih ⊂ G/P . Lemma 3.3 implies that if h is tangent to ...
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Quantum cohomology of minuscule homogeneous spaces III. Semisimplicity and consequences
... (co)minuscule homogeneous spaces, the pull- back of the vertical tangent bundle to the rational curves parametrized by S have no ...other homogeneous spaces, it seems more difficult to compute ...
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Towards a Littlewood Richardson rule for Kac-Moody homogeneous spaces
... 1 Introduction Schubert calculus is an old important problem. Its main focus is the computation of the structure constants (the Littlewood-Richardson coefficients) in the cup product of Schubert classes in the co- ...
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Quantum cohomology of minuscule homogeneous spaces II : Hidden symmetries
... In this section we want to compare the intersection in F d of two cells in [Z d ∗ , F d ] with an intersection in Z d . Our first result will hold for arbitrary homogeneous spaces. Let X be a ...
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Spectral rigidity of group actions on homogeneous spaces
... homogeneous spaces Bachir Bekka ∗ Abstract Actions of a locally compact group G on a measure space X give rise to unitary representations of G on Hilbert ...with spaces X with an infinite measure as ...
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Affine symmetries of the equivariant quantum cohomology ring of rational homogeneous spaces
... which we call Seidel’s representation. According to [McDSa04], it is hard to describe this map explicitly. This has been done by A. Postnikov for Grassmannians and the variety of complete flags in type A (see [Po00] and ...
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Quantum cohomology of minuscule homogeneous spaces III : semi-simplicity and consequences
... where t is a Cartan subalgebra of the Lie algebra g of G, and I d 1 , . . . , I d m are homogeneous generators of the W -invariants; the maximal degree d m is the Coxeter number of g. Let Z(g) denote the ...
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Locally homogeneous aspherical Sasaki manifolds
... locally homogeneous aspherical Sasaki manifold is always quasi-regular, that is, Γ G/H is an S 1 -Seifert bundle over a locally homogeneous aspherical Kähler ...locally homogeneous aspherical ...
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Composition operators on model spaces
... Malinnikova have obtained a nice criterion for the compactness of these operators which is related to the Nevanlinna counting function. This criterion generalizes the classical criterion of Shapiro. In the first part of ...
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Biased estimators on Quotient spaces
... clidean spaces. But what about statistics on other mathematical spaces, like manifolds with additional properties: Lie groups, Quotient spaces, Stratified spaces etc? How can we describe the ...
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ON THE GROWTH OF SOLUTIONS OF HOMOGENEOUS AND NON-HOMOGENEOUS LINEAR DIFFERENTIAL EQUATIONS WITH MEROMORPHIC COEFFICIENTS
... where A 0 (z) 6≡ 0, A 1 (z) , · · · , A k−1 (z) and F (z) 6≡ 0 are meromorphic functions of finite iterated p−order. Several authors [3, 4, 7, 8, 16, 19] have investigated the growth of solutions of second order and ...
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Rigid motions on discrete spaces
... The edges of the neighborhood motion maps graph are marked by color line segments which connect different neighborhood motions maps (see Chapter 3 of Part I).. The elements which have no[r] ...
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Heat flow on Alexandrov spaces
... Alexandrov spaces (X , d, H n ) of curvature bounded below without bound- ary, equipped with the Hausdorff measure H n ...such spaces ac- tually have Ricci curvature bounded below in the sense of ...
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Optically induced homogeneous line narrowing
... simple optical pumping whereby the fast Rt relaxation ( = 4 msec) results in a transfer of population to the A2(+T) levels ( = 1-sec spin-lattice relaxation time). However, since the R2 [r] ...
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Stabilization via homogeneous feedback controls
... possess very interesting properties which allow to re- strict their study to compact manifolds (see [8, Lemma 1]). In a second way, finding an homogeneous feedback control is often the first step when dealing with ...
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Hyperbolicity of singular spaces
... As an application of the above results, we study in section 5 the case of Hilbert modular varieties and obtain the following version of conjecture 1.1 in this case.. Theorem D.[r] ...
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Adelic quadratic spaces
... adelic spaces E over K of the real numbers inf {H E (x) n H(E) 1 ; x 2 E \ {0}} (H E (x) and H(E) are the heights of x and E with respect to the metrics on ...
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Homogeneous catalysis with phosphorus dendrimer complexes
... Considerably enhanced catalytic activity was observed when using dendrimers (G1–G3) as ligands, which afforded almost quantitative yields, as compared to the model monomer (61[r] ...
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Spatially homogeneous ferromagnetism of (Ga, Mn)As
... These results clearly demonstrate that ferromagnetism in (Ga, Mn)As develops homogeneously in the full volume fraction, up to x = 0.07, when specimens are prepared appropriately, and give strong encouragement to reliable ...
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