In particular we look at the case of complex algebraic varieties where we can compare with the complex analytic category. Finally we study vector bundles with a connection where stronger results can be achieved.doi:10.48550/arXiv.1106.3969Helmut A. Hamm...
We prove that smooth 1-dimensional topological field theories over a manifold are the same as vector bundles with connection. The main novelty is our definition of the smooth 1-dimensional bordism category, which encodes cutting laws rather than gluing laws. We make this idea precise through a ...
connection in vector bundles【数】分享到: 向量丛的联络分类: 科技词汇 | 查看相关文献(pubmed) | 免费全文文献 详细解释:以下为句子列表:分享到: 赞助商链接 你知道它的英文吗? ·同向偏斜 ·对合的共轭元素 ·合取变换 ·合取 ·合时刻 ·合取目标 ·合取命题 ·合生叶 ...
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Definition 7.5. 令\pi_{E}: E \rightarrow M 和\pi_{F}: F \rightarrow N 是C^\infty vector bundles。一个从 E 到F 的C^\infty bundle map 是一对 C^\infty 映射(\varphi: E \rightarrow F, \underline{\varphi}: M \rightarrow N) s.t. ...
In the theory of differentiable fibre bundles, with a Lie group as structure group, the notion of a connection plays an important role. In this paper we shall consider complex analytic connections in complex analytic fibre bundles. The situation is then radically different from that in the ...
Let $X$ be a proper smooth algebraic variety over a field $k$ of characteristic zero and let $D$ be a divisor with simple normal crossings. Let $M$ be a vector bundle over $X-D$ equipped with a flat connection with possible irregular singularities along $D$. We define a cleanliness ...
We prove a non-commutative version of the Bochner-Lichnerowicz-Weitzenbock formula for the Bochner Laplacian acting on sections of a C -algebra bundle or of a real Euclidean bundle provided with a suitable connection. We then use it to obtain a lower bound on the spectrum in terms of unifor...
In many cases, connection forms are considered on vector bundles with additional structure: that of a fiber bundle with a structure group. 在许多情形,考虑有附加结构的向量丛上的联络形式:即带有结构群的纤维丛。 WikiMatrix Connections on vector bundles are also sometimes called Koszul connections ...
CROSSED PRODUCTS BY ENDOMORPHISMS, VECTOR BUNDLES AND GROUP DUALITY, II. We study C*-algebra endomorphims which are special in a weaker sense with respect to the notion introduced by Doplicher and Roberts. We assign to such endo... VASSELLI,EZIO - 《International Journal of Mathematics》 被...