介绍四元格贝斯
Introducing Quaternionic Gerbes
摘要:
四元数格贝的概念是作为一种新的方式捆绑代数结构的四流形。这种纤维化的结构广群进行了详细的描述。欧几里得共形群R*SO(4)自然地表现为这个广群上的(非交换的)幺半群结构。使用这个monoidal结构,我们表明存在一个典型的四元数gerbe相关联的共形结构上的四个流形。
英文摘要:
The notion of a quaternionic gerbe is presented as a new way of bundling algebraic structures over a four manifold. The structure groupoid of this fibration is described in some detail. The Euclidean conformal group R*SO(4) appears naturally as a (non-commutative) monoidal structure on this groupoid. Using this monoidal structure we indicate the existence of a canonical quaternionic gerbe associated to a conformal structure on a four manifold.
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