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LECTURES ON PRINCIPAL BUNDLES
, 2009
"... The aim of these lectures is to give a brief introduction to principal bundles on algebraic curves towards the construction of the moduli spaces of semistable principal bundles. The first lecture develops the basic machinery on principal bundles, their automorphisms. At ..."
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The aim of these lectures is to give a brief introduction to principal bundles on algebraic curves towards the construction of the moduli spaces of semistable principal bundles. The first lecture develops the basic machinery on principal bundles, their automorphisms. At
Principal bundles on elliptic fibrations
 Asian J. Math
, 1997
"... A central role in recent investigations of the duality of Ftheory and heterotic strings is played by the moduli of principal bundles, with various structure groups G, over an elliptically fibered CalabiYau manifold on which the heterotic theory is compactified. In this note we propose a simple alg ..."
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Cited by 76 (16 self)
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A central role in recent investigations of the duality of Ftheory and heterotic strings is played by the moduli of principal bundles, with various structure groups G, over an elliptically fibered CalabiYau manifold on which the heterotic theory is compactified. In this note we propose a simple
Principal ∞bundles – Presentations
 University of Notre Dame
, 2006
"... We discuss two aspects of the presentation of the theory of principal ∞bundles in an ∞topos, introduced in [NSSa], in terms of categories of simplicial (pre)sheaves. First we show that over a cohesive site C and for G a presheaf of simplicial groups which is Cacyclic, Gprincipal ∞bundles over a ..."
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Cited by 1 (1 self)
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We discuss two aspects of the presentation of the theory of principal ∞bundles in an ∞topos, introduced in [NSSa], in terms of categories of simplicial (pre)sheaves. First we show that over a cohesive site C and for G a presheaf of simplicial groups which is Cacyclic, Gprincipal ∞bundles over
Principal ∞bundles – General theory
, 2012
"... The theory of principal bundles makes sense in any ∞topos, such as the ∞topos of topological, of smooth, or of otherwise geometric ∞groupoids/∞stacks, and more generally in slices of these. It provides a natural geometric model for structured higher nonabelian cohomology and controls general fib ..."
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Cited by 4 (3 self)
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The theory of principal bundles makes sense in any ∞topos, such as the ∞topos of topological, of smooth, or of otherwise geometric ∞groupoids/∞stacks, and more generally in slices of these. It provides a natural geometric model for structured higher nonabelian cohomology and controls general
ON THE FUNCTORIAL PROLONGATION OF PRINCIPAL BUNDLES
"... Abstract. We describe the fundamental properties of the infinitesimal actions related with functorial prolongation of principal and associated bundles with respect to fiber product preserving bundle functors. Our approach is essentially based on the Weil algebra technique and an original concept o ..."
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Cited by 1 (0 self)
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Abstract. We describe the fundamental properties of the infinitesimal actions related with functorial prolongation of principal and associated bundles with respect to fiber product preserving bundle functors. Our approach is essentially based on the Weil algebra technique and an original concept
Multidimensional Gravity on the Principal Bundles
, 1997
"... The multidimensional gravity on the total space of principal bundle is considered. In this theory the gauge fields arise as nondiagonal components of multidimensional metric. The spherically symmetric and cosmology solutions for gravity on SU(2) principal bundle are obtained. The static spherically ..."
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The multidimensional gravity on the total space of principal bundle is considered. In this theory the gauge fields arise as nondiagonal components of multidimensional metric. The spherically symmetric and cosmology solutions for gravity on SU(2) principal bundle are obtained. The static spherically
PRINCIPAL BUNDLES, GROUPOIDS, AND CONNECTIONS
"... Abstract. We clarify in which precise sense the theory of principal bundles and the theory of groupoids are equivalent; and how this equivalence of theories, in the differentiable case, reflects itself in the theory of connections. The method used is that of synthetic differential geometry. Introduc ..."
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Abstract. We clarify in which precise sense the theory of principal bundles and the theory of groupoids are equivalent; and how this equivalence of theories, in the differentiable case, reflects itself in the theory of connections. The method used is that of synthetic differential geometry
HOMOGENEOUS PRINCIPAL BUNDLES AND STABILITY
, 2009
"... Let G/P be a rational homogeneous variety, where P is a parabolic subgroup of a simple and simply connected linear algebraic group G defined over an algebraically closed field of characteristic zero. A homogeneous principal bundle over G/P is semistable (respectively, polystable) if and only if it ..."
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Cited by 1 (0 self)
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Let G/P be a rational homogeneous variety, where P is a parabolic subgroup of a simple and simply connected linear algebraic group G defined over an algebraically closed field of characteristic zero. A homogeneous principal bundle over G/P is semistable (respectively, polystable) if and only
Principal bundles on elliptic fibrations
, 1997
"... A central role in recent investigations of the duality of Ftheory and heterotic strings is played by the moduli of principal bundles, with various structure groups G, over a CalabiYau manifold (on the heterotic side), and specifically over an ellipticallyfibered CalabiYau, on the Ftheory side. ..."
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A central role in recent investigations of the duality of Ftheory and heterotic strings is played by the moduli of principal bundles, with various structure groups G, over a CalabiYau manifold (on the heterotic side), and specifically over an ellipticallyfibered CalabiYau, on the Ftheory side
Results 1  10
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1,116