论文标题

一些Hermitian K组通过几何拓扑

Some Hermitian K-groups via geometric topology

论文作者

Krannich, Manuel, Kupers, Alexander

论文摘要

我们计算整数的前两个符号二次K理论组,或等效地,是一组符号积分矩阵的前两个稳定同源组,从而保留了标准的二次修复。计算中的主要新颖性在于其方法,它基于高维歧管理论。

We compute the first two symplectic quadratic K-theory groups of the integers, or equivalently, the first two stable homology groups of the group of symplectic integral matrices preserving the standard quadratic refinement. The main novelty in our calculation lies in its method, which is based on high-dimensional manifold theory.

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