论文标题
通过同源代数的差分字符和差异K理论的独特性
Uniqueness of differential characters and differential K-theory via homological algebra
论文作者
论文摘要
在Proc Math Sci 129，70（219）中，Rakesh Pawar考虑并解决了一定的扩展问题。在本说明中，我们观察到，差异字符的存在和唯一性（定义为适合六边形图的对象）直接来自Rakesh Pawar的结果。这提供了J. Simons和D. Sullivan的结果较弱的替代证明，《拓扑杂志》，2008年，第1卷：45-56。此外，这种方法直接表明，六边形图独特地确定了差异K理论组，直到同构。
In Proc Math Sci 129, 70(219), Rakesh Pawar considers and solves a certain extension problem. In this note, we observe that the existence and uniqueness of differential characters (defined as objects which fit into a hexagon diagram) follow directly from Rakesh Pawar's results. This provides an alternate proof of a weaker version of the results of J. Simons and D. Sullivan, Journal of Topology, 2008, vol 1:45-56. Further this approach directly shows that the hexagon diagram uniquely determines the differential K-theory groups upto an isomorphism.
