高ρ不变量两个定义的等价性

Equivalence of different definitions of higherinvariants

对于紧定向光滑流形之间的保定向同伦等价,可定义与其相关的高ρ不变量.目前文献中,对于这个不变量存在两种不同的定义.本文论证了这两种定义互相等价.

For each orientation-preserving homotopy equivalence between two closed oriented smooth manifolds,there are mainly two different approaches to the higherinvariant associated to this homotopy equivalence.In this paper,we show that these two definitions of the higherinvariant are equivalent.