Vector Bundles
Mostrando 1-12 de 15 artigos, teses e dissertações.
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1. Fundamentos da geometria complexa: aspectos geométricos, topológicos e analiticos. / Foundations of Complex Geometry: geometric, topological and analytic aspects.
The main goal of this work is to present a detailed study of the foundations of Complex Geometry, highlighting its geometric, topological and analytical aspects. Beginning with a preliminary material, such as the basic results on holomorphic functions in one or more variables and the definition and first examples of a complex manifold, we move on to an intro
IBICT - Instituto Brasileiro de Informação em Ciência e Tecnologia. Publicado em: 03/05/2012
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2. Representations of quivers and vector bundles over projectives spaces = : Representações de quivers e fibrados vetoriais sobre espaços projetivos / Representações de quivers e fibrados vetoriais sobre espaços projetivos
Neste trabalho relacionamos algumas classes de fibrados vetoriais...Observação: O resumo, na íntegra, poderá ser visualizado no texto completo da tese digital.
IBICT - Instituto Brasileiro de Informação em Ciência e Tecnologia. Publicado em: 23/03/2012
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3. Representações torcidas de Quivers / Twisted representations of quivers
The main goal of this thesis is to introduce for the category of twisted representations of a quiver Q the definitions and results one already knows for categories of representations of quivers. The concept of twisted representations was introduced by Gothen and King in [11] to study problems concerning vector bundles over algebraic varieties. King also show
Publicado em: 2008
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4. Vector valued Morse exponents and semiflows in flag bundles / Expoentes de Morse vetoriais e semifluxos em fibrados flag
This thesis establishes an intrinsic procedure which generalizes the classical spherical/radial decomposition of linear semiflows to a broader class of semiflows of endomorphisms of G- principal fiber bundles, whose structural group G is a Lie group that is more general than the general linear group G1 (n,R). In this more general context this thesis establis
Publicado em: 2007
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5. Vector bundles over tridimensional spherical space forms / Fibrados vetoriais sobre "spherical space forms" tridimensionais
Neste trabalho consideramos o problema de enumerar G-fibrados sobre variedades de dimensão baixa (menor ou igual a 3), em particular fibrados vetoriais sobre as ?spherical space forms? tridimensionais. É dada uma resposta completa para estas questões e na seção 5.1 são colocadas tabelas que explicitam os possíveis fibrados vetoriais sobre as ?spherica
Publicado em: 2006
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6. "Enumeração dos fibrados vetoriais sobre superfícies fechadas" / "Enumeration of vector bundles over closed surfaces"
The aim of this work is enumerate the plane bundles over some surfaces, for example the sphere and the g-torus. Among other tools we used cohomology of the surfaces with local coefficients and also the method developed by Larmore to count homotopy classes of lifting of functions.
Publicado em: 2005
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7. Geometria não-comutativa e o modelo de Connes-Lott
In this dissertation we studied how to generalize in an algebraic way some of the concepts of classical differential geometry (like the concepts of manifolds and vector bundles). Moreover, we developed the integral and differential calculus over these algebraic structures. These concepts are the basis of the noncom mutative geometry, which enabled us to stud
Publicado em: 2003
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8. Equivariant algebraic vector bundles over representations of reductive groups: applications.
Let G be a connected semisimple Lie group over C. In this paper we construct continuous families of nonisomorphic algebraic G-vector bundles in which the base space is a fixed representation of G. The G-vector bundles constructed are all G-invariant hypersurfaces in a representation of G. We show that in some cases these vector bundles yield continuous famil
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9. Equivariant algebraic vector bundles over representations of reductive groups: theory.
Let G be a reductive algebraic group and let B be an affine variety with an algebraic action of G. Everything is defined over the field C of complex numbers. Consider the trivial G-vector bundle B x S = S over B where S is a G-module. From the endomorphism ring R of the G-vector bundle S a construction of G-vector bundles over B is given. The bundles constru
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10. TRIVIALITY OF VECTOR BUNDLES OVER THE AFFINE SPACE K2
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11. Higher-Order Curvature and Local Solvability of Dθ
Let E and F be vector bundles and D:E̱ → F̱ an operator of order k. We associate a sequence of invariants Ⓗ(l)(D), l ≥ 0 with D which generalize the concept of curvature in a natural way. In the case where D = Dθ is the differential operator of a connection θ on a vector bundle E, Ⓗ(1)(Dθ) is the classical curvature. Furthermore, we find an inte
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12. Laws of composition of Bäcklund transformations and the universal form of completely integrable systems in dimensions two and three
Bäcklund transformations are defined as operations on solutions of a Riemann boundary value problem (vector bundles over P1) that add apparent singularities. For solutions of difference and differential linear spectral problems, Bäcklund transformations are presented in explicit form through the Christoffel formula and its generalizations. Identities satis