高挠不变量的等价性
Equivalence of higher torsion invariants
摘要:
我们证明了Dwyer、Weiss和Williams构造的流形的光滑挠率满足Igusa发展的高阶挠率公理。由此得到光滑Dwyer-Weiss-Williams挠率与Igusa和Klein的高挠率成正比。
英文摘要:
We show that the smooth torsion of bundles of manifolds constructed by Dwyer, Weiss, and Williams satisfies the axioms for higher torsion developed by Igusa. As a consequence we obtain that the smooth Dwyer-Weiss-Williams torsion is proportional to the higher torsion of Igusa and Klein.
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