Differential K-theory as equivalence classes of maps to Grassmannians and unitary groups\

被引:0
|
作者
Tradler, Thomas [1 ]
Wilson, Scott O. [2 ]
Zeinalian, Mahmoud [3 ]
机构
[1] CUNY, Dept Math, New York City Coll Technol, 300 Jay St, Brooklyn, NY 11201 USA
[2] CUNY Queens Coll, Dept Math, 65-30 Kissena Blvd, Flushing, NY 11367 USA
[3] Long Isl Univ, Dept Math, LIU Post, 720 Northern Blvd, Brookville, NY 11548 USA
来源
基金
美国国家科学基金会;
关键词
K-theory; differential K-theory; Chern Simons; FORMS;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We construct a model of differential K-theory 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 by using certain differential forms that witness the incompatibility between the even and odd universal Chern forms. By the uniqueness theorem of Bunke and Schick, this model agrees with the spectrum based models in the literature whose nongeometrically defined Chern cocycles are compatible with the delooping maps of the spectrum. These constructions favor geometry over homotopy theory.
引用
收藏
页码:527 / 581
页数:55
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