关于自相交不变量
On self-intersection invariants
摘要:
我们证明了自横浸入$f\co N^n\imm M^{2n}$的Hatcher-Quinn和Wall不变量是一致的。也就是说,我们在他们的目标群体之间构建了一个同构,这个同构将一个群体带到另一个群体上。我们还采用正规边理论的方法来研究浸入式$f\co N^n\imm M^{2n-1}$的Hatcher-Quinn不变量。
英文摘要:
We prove that the Hatcher-Quinn and Wall invariants of a self-transverse immersion $f\co N^n\imm M^{2n}$ coincide. That is, we construct an isomorphism between their target groups which carries one onto the other. We also employ methods of normal bordism theory to investigate the Hatcher-Quinn invariant of an immersion $f\co N^n\imm M^{2n-1}$.
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