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Maurizio Brunetti (1997)
Publicacions Matemàtiques
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Let K(n)*(-) be a Morava K-theory at the prime 2. Invariant theory is used to identify K(n)*(BA) as a summand of K(n)*(BZ/2 × BZ/2). Similarities with H*(BA;Z/2) are also discussed.
Luis Alberto Molina Rojas, Angelo Vistoli (2006)
Rendiconti del Seminario Matematico della Università di Padova
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Martin Markl (1988)
Czechoslovak Mathematical Journal
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Michael F. Atiyah (1961)
Publications Mathématiques de l'IHÉS
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Gregor Masbaum (1991)
Bulletin de la Société Mathématique de France
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Piotr Pragacz, Jan Ratajski (2003)
Fundamenta Mathematicae
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We study the cohomology ring of the Grassmannian G of isotropic n-subspaces of a complex 2m-dimensional vector space, endowed with a nondegenerate orthogonal form (here 1 ≤ n < m). We state and prove a formula giving the Schubert class decomposition of the cohomology products in H*(G) of general Schubert classes by "special Schubert classes", i.e. the Chern classes of the dual of the tautological vector bundle of rank n on G. We discuss some related properties of reduced decompositions...
Jean-Claude Hausmann, Allen Knutson (1998)
Annales de l'institut Fourier
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We compute the integer cohomology rings of the “polygon spaces”introduced in [F. Kirwan, Cohomology rings of moduli spaces of vector bundles over Riemann surfaces, J. Amer. Math. Soc., 5 (1992), 853-906] and [M. Kapovich & J. Millson, the symplectic geometry of polygons in Euclidean space, J. of Diff. Geometry, 44 (1996), 479-513]. This is done by embedding them in certain toric varieties; the restriction map on cohomology is surjective and we calculate its kernel using ideas from...