我认为正确。这就是Chern-Weil理论的出发点,通过曲率来构造示性类。但是示性类所在的上同调类跟联络的...
Using the space of holomorphic symmetric tensors on the moduli space of stable bundles over a Riemann surface we construct a projectively flat connection on a vector bundle over Teichm眉ller space. The fibre of the vector bundle consists of the global sections of a power of the determinant ...
Flat partial connections and holomorphic structures in $C\sp{\infty }$ vector bundles 喜欢 0 阅读量: 9 作者: J. H. Rawnsley 摘要: The notion of a flat partial connection D in a vector bundle E, defined on an integrable subbundle F of the complexified tangent bundle of a manifold...
Let $M$ be a vector bundle over $X-D$ equipped with a flat connection with possible irregular singularities along $D$. We define a cleanliness condition which roughly says that the singularities of the connection are controlled by the singularities at the generic points of $D$. When this ...
扁平化矢量图标 216 Flat vector icons bundle C-Crystal 下载 Category素材列表 (88963) Mockups (21,653) Ui Kits (9,408) Sketch (1,437) 背景纹理 (6,727) 图标 (4,849) 平面图形 (21,288) 插画 (3,532) Vi (158) 简历 (488) 海报模板 (4,658) 2.5D插画 (408) Logo...
A polystable flat principal G-bundle over M admits a unique Hermitian–Einstein connection. We also prove the existence and uniqueness of a Harder–Narasimhan filtration for flat vector bundles over M. We prove a Bogomolov type inequality for semistable vector bundles under the assumption that ...
We describe two extensions of the notion of a self-dual connection in a vector bundle over a manifold M from dim M=4 to higher dimensions. The first extension, Omega-self-duality, is based on the existence of an appropriate 4-form Omega on the Riemannian manifold M and yields solutions ...
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andthetheoryofalgebraicandarithmeticgroups.Inordertobeabletoemploythesegroup-theoreticalmethodswerestrictourattentiontoholomor-phicvectorbundleswhichcarryaflatholomorphicconnection.Anysuchbundleisinducedbyarepresentationofthefundamentalgroup.Specialemphasisisputonwhatwecallessentiallyantiholomorphicrepresentations.For...