丛上的相交数与Euler数

摘要

In this article, we study the intersection numbers of cross sections of bundles on manifolds with boundary. By using the method of extending vector fields on doubled manifolds,we obtain an expression of the Euler characteristic in terms of intersection numbers.%本文主要研究了带边流形上丛截面的相交数.应用作倍流形上的向量场的延拓,我们得到了带边流形上的Euler数用相交数的表示.