The index of projective families of elliptic operators.
Mathai, Varghese, Melrose, Richard B., Singer, Isadore M. (2005)
Geometry & Topology
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Mathai, Varghese, Melrose, Richard B., Singer, Isadore M. (2005)
Geometry & Topology
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Michael Schneider, Alessandro Tancredi (1988)
Mathematische Annalen
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Vasile Brînzănescu, Ruxandra Moraru (2005)
Annales de l’institut Fourier
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In this paper, we consider the problem of determining which topological complex rank-2 vector bundles on non-Kähler elliptic surfaces admit holomorphic structures; in particular, we give necessary and sufficient conditions for the existence of holomorphic rank-2 vector bundles on non-{Kä}hler elliptic surfaces.
A. Minatta, R. Piccinini, M. Spreafico (2003)
Collectanea Mathematica
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Norman Goldstein (1984)
Compositio Mathematica
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Constantin Teleman, Christopher Woodward (2003)
Annales de l’institut Fourier
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The set of conjugacy classes appearing in a product of conjugacy classes in a compact, -connected Lie group can be identified with a convex polytope in the Weyl alcove. In this paper we identify linear inequalities defining this polytope. Each inequality corresponds to a non-vanishing Gromov-Witten invariant for a generalized flag variety , where is the complexification of and is a maximal parabolic subgroup. This generalizes the results for of Agnihotri and the second author...
Katarzyna Konieczna, Pawel Urbański (1999)
Archivum Mathematicum
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The notions of the dual double vector bundle and the dual double vector bundle morphism are defined. Theorems on canonical isomorphisms are formulated and proved. Several examples are given.
Hanna Matuszczyk (1983)
Annales Polonici Mathematici
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