微分K理论作为Grassmannian群和酉群映射的等价类
Differential K-theory as equivalence classes of maps to Grassmannians and unitary groups
摘要：
我们利用几何定义的陈式构造了一个微分K理论模型，其上圈是到格拉斯曼群和酉群的映射的等价类。特别是，我们生产的圆集成地图，这些模型使用经典同伦理论的建设，通过将某些微分形式，调和这些偶数和奇数陈式之间的不相容性。通过Bunke和Schick的唯一性定理，该模型与文献中基于谱的模型一致，其抽象陈上循环与鼻子上的去环映射兼容。
英文摘要：
We construct a model of differential K-theory, using the geometrically defined Chern forms, whose cocycles are certain equivalence classes of maps into the Grassmannians and unitary groups. In particular, we produce the circle-integration maps for these models using classical homotopy-theoretic constructions, by incorporating certain differential forms which reconcile the incompatibility between these even and odd Chern forms. By the uniqueness theorem of Bunke and Schick, this model agrees with the spectrum-based models in the literature whose abstract Chern cocycles are compatible with the delooping maps on the nose.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
