长纽结空间中的几何同调表示
A Geometric Homology Representative in the Space of Long Knots
摘要：
当d为偶数时，我们给出了R^d中长结点空间中非平凡同调类的显式几何表示。我们推广Cattaneo，Cotta-Ramusino和Longoni的结果，定义周期的消失线的同源谱序列由于Sinha。我们使用配置空间积分显示我们的类对nontrivially由于Longoni上同调类。
英文摘要：
We produce explicit geometric representatives of nontrivial homology classes in the space of long knots in R^d, when d is even. We generalize results of Cattaneo, Cotta-Ramusino and Longoni to define cycles which live off of the vanishing line of a homology spectral sequence due to Sinha. We use configuration space integrals to show our classes pair nontrivially with cohomology classes due to Longoni.
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