论文标题
等效扭曲共同体中的角色图
The Character Map in Equivariant Twistorial Cohomotopy
论文作者
论文摘要
非亚伯广义的同谋的基本概念在代数拓扑学中获得了认可，作为“分解同源性”的非亚洲庞加利亚的二元，并且在理论物理学中为非线性高斯法律提供了磁通化。然而，已经是原型例子 - 不稳定的共同动物，大约一个世纪前是由庞特尔杰金（Pontrjagin）首先研究的 - 可能仍然被视为一种共同体学理论。 In illustration and amplification of its cohomological nature, we construct the non-abelian generalization of the Chern character map on $\mathbb{Z}_2$-equivariantized 7-Cohomotopy -- in fact on its "twistorial" version classified by complex projective 3-space -- essentially by computing its equivariant Sullivan model, and we highlight some interesting integral cohomology classes which are extracted this way. 最后，我们以这种结果的应用前景对在Seifert 3-Orbifold上包裹的M5-branes上的严格扣除量进行了前景。
The fundamental notion of non-abelian generalized cohomology gained recognition in algebraic topology as the non-abelian Poincaré-dual to "factorization homology", and in theoretical physics as providing flux-quantization for non-linear Gauss laws. However, already the archetypical example -- unstable Cohomotopy, first studied almost a century ago by Pontrjagin -- may remain underappreciated as a cohomology theory. In illustration and amplification of its cohomological nature, we construct the non-abelian generalization of the Chern character map on $\mathbb{Z}_2$-equivariantized 7-Cohomotopy -- in fact on its "twistorial" version classified by complex projective 3-space -- essentially by computing its equivariant Sullivan model, and we highlight some interesting integral cohomology classes which are extracted this way. We end with an outlook on the application of this result to the rigorous deduction of anyonic quantum states on M5-branes wrapped over Seifert 3-orbifolds.
