Quantum Principal Bundles on Projective Bases
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DOI: 10.1007/s00220-021-03985-4
Abstract: The purpose of this paper is to propose a sheaf theoretic approach to the theory of quantum principal bundles over non affine bases. We study noncommutative principal bundles corresponding to $$G \rightarrow G/P$$ G →… read more here.
Keywords: projective bases; principal bundles; quantum principal; bundles projective ... See more keywords
Numerical flatness and principal bundles on Fujiki manifolds
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DOI: 10.1016/j.difgeo.2021.101841
Abstract: Let M be a compact connected Fujiki manifold, G a semisimple affine algebraic group over C with one simple factor and P a fixed proper parabolic subgroup of G. For a holomorphic principal G–bundle EG… read more here.
Keywords: numerical flatness; principal bundles; bundles fujiki; geometry ... See more keywords
Momentum maps and the kähler property for base spaces of reductive principal bundles
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DOI: 10.1017/s0013091523000123
Abstract: Abstract We investigate the complex geometry of total spaces of reductive principal bundles over compact base spaces and establish a close relation between the Kähler property of the base, momentum maps for the action of… read more here.
Keywords: reductive principal; spaces reductive; principal bundles; hler property ... See more keywords
Principal bundles on two-dimensional CW-complexes with disconnected structure group
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DOI: 10.1017/s0017089521000434
Abstract: Given any topological group G, the topological classification of principal G-bundles over a finite CW-complex X is long known to be given by the set of free homotopy classes of maps from X to the… read more here.
Keywords: bundles two; group; principal bundles; dimensional complexes ... See more keywords