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Displaying similar documents to “Stable triples, equivariant bundles and dimensional reduction.”

Equivariant principal bundles for G–actions and G–connections

Indranil Biswas, S. Senthamarai Kannan, D. S. Nagaraj (2015)

Complex Manifolds

Similarity:

Given a complex manifold M equipped with an action of a group G, and a holomorphic principal H–bundle EH on M, we introduce the notion of a connection on EH along the action of G, which is called a G–connection. We show some relationship between the condition that EH admits a G–equivariant structure and the condition that EH admits a (flat) G–connection. The cases of bundles on homogeneous spaces and smooth toric varieties are discussed.

Bounds for Chern classes of semistable vector bundles on complex projective spaces

Wiera Dobrowolska (1993)

Colloquium Mathematicae

Similarity:

This work concerns bounds for Chern classes of holomorphic semistable and stable vector bundles on n . Non-negative polynomials in Chern classes are constructed for 4-vector bundles on 4 and a generalization of the presented method to r-bundles on n is given. At the end of this paper the construction of bundles from complete intersection is introduced to see how rough the estimates we obtain are.