Results 221 to 230 of about 200,533 (263)
Exploring the temperature stability of CRISPR-Cas12b using molecular dynamics simulations.
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2020
This chapter examines principal bundles. Throughout the chapter, G will be a topological group. It then defines a principal G-bundle and provides a criterion for a map to be a principal G-bundle. This is followed by several examples of principal G-bundles.
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This chapter examines principal bundles. Throughout the chapter, G will be a topological group. It then defines a principal G-bundle and provides a criterion for a map to be a principal G-bundle. This is followed by several examples of principal G-bundles.
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Cohomology of Flat Principal Bundles
Proceedings of the Edinburgh Mathematical Society, 2018AbstractWe invoke the classical fact that the algebra of bi-invariant forms on a compact connected Lie groupGis naturally isomorphic to the de Rham cohomologyH*dR(G) itself. Then, we show that when a flat connectionAexists on a principalG-bundleP, we may construct a homomorphismEA:H*dR(G)→H*dR(P), which eventually shows that the bundle satisfies a ...
Byun, Yanghyun, Kim, Joohee
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Sbornik: Mathematics, 1999
Summary: The class \(A\) of bundles with the following properties is investigated: each bundle in \(A\) is the composition of a regular cover and a principal bundle (over the covering space) with Abelian structure group; the standard fibre \(G\) of this decomposable bundle is a Lie group; the bundle has an atlas with multivalued transition functions ...
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Summary: The class \(A\) of bundles with the following properties is investigated: each bundle in \(A\) is the composition of a regular cover and a principal bundle (over the covering space) with Abelian structure group; the standard fibre \(G\) of this decomposable bundle is a Lie group; the bundle has an atlas with multivalued transition functions ...
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Stable Pairs and Principal Bundles
The Quarterly Journal of Mathematics, 2000Let \(K\) be a connected compact Lie group, \(G\) its complexification, \(X\) a compact Kähler manifold, and \(E\to X\) be a principal holomorphic \(G\)-bundle over \(X\). Let \(W\) be a complex vector space and \(\rho: K\to U(W)\) a unitary representation of \(K\), which lifts to a representation \(\widetilde\rho\) of \(G\) and let \(V\to X\) be the ...
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2015
The importance of the role of principal fiber bundles in classical differential geometry and physics is well established. We now consider the generalization of this structure in the context of noncommutative geometry. The material in this chapter is based on several of Micho Ðurđevich’s papers (see especially [22] and [26] but also [21] and [23]).
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The importance of the role of principal fiber bundles in classical differential geometry and physics is well established. We now consider the generalization of this structure in the context of noncommutative geometry. The material in this chapter is based on several of Micho Ðurđevich’s papers (see especially [22] and [26] but also [21] and [23]).
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2003
Let H be a semisimple algebraic group and let X be a smooth projective curve defined over an algebraically closed field k. The principal aim of this paper is to give a brief account of the results of [BS] and [BP] which prove the existence and projectivity of the moduli spaces of principal H-bundles on X for fields of characteristic zero and char p, p >
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Let H be a semisimple algebraic group and let X be a smooth projective curve defined over an algebraically closed field k. The principal aim of this paper is to give a brief account of the results of [BS] and [BP] which prove the existence and projectivity of the moduli spaces of principal H-bundles on X for fields of characteristic zero and char p, p >
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2019
In this chapter we treat the theory of principal bundles and connections on them for families of supermanifolds. The most important examples of principal bundles are frame bundles of vector bundles. Many extra structures on vector bundles, such as metrics or almost complex structures can actually be formulated in terms of a reduction of the structure ...
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In this chapter we treat the theory of principal bundles and connections on them for families of supermanifolds. The most important examples of principal bundles are frame bundles of vector bundles. Many extra structures on vector bundles, such as metrics or almost complex structures can actually be formulated in terms of a reduction of the structure ...
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Autophagy and autophagy-related pathways in cancer
Nature Reviews Molecular Cell Biology, 2023, Kevin M Ryan
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