4 球体的准椭圆同调

arXiv - MATH - Algebraic Topology Pub Date : 2024-08-05 DOI:arxiv-2408.02278

Zhen Huan

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引用次数: 0

摘要

准椭圆同调学（Quasi-elliptic cohomology）是萨提（Sati）和施雷伯（Schreiber）的猜想，它是等变 4-th 同调学（Equivariant 4-th Cohomotopy）的一个特别合适的近似，它将 M 理论中的 M 粒子所带的电荷进行了分类，这与复 K 理论将弦理论中的 D 粒子所带的电荷进行分类的传统观点类似。在本文中，我们计算了一些有限子群作用下 4 球的准椭圆全同调，这些有限子群是最有趣的等向群，M5-branes 可能就位于这些等向群中。

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Quasi-elliptic cohomology of 4-spheres

Quasi-elliptic cohomology is conjectured by Sati and Schreiber as a particularly suitable approximation to equivariant 4-th Cohomotopy, which classifies the charges carried by M-branes in M-theory in a way that is analogous to the traditional idea that complex K-theory classifies the charges of D-branes in string theory. In this paper we compute quasi-elliptic cohomology of 4-spheres under the action by some finite subgroups that are the most interesting isotropy groups where the M5-branes may sit.

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arXiv - MATH - Algebraic Topology

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