论文标题
彩色SL（N）同源性和SU（N）表示
Colored sl(N) homology and SU(N) representations
论文作者
论文摘要
我们为非平凡结的彩色SL（N）同源性提供了第一个完整的计算。在此过程中，我们表明，定义表示的外部力量标记的三叶型的彩色SL（n）同源性与自然与Trefoil相关的封闭歧管的共同学是同构的。该歧管是Trefoil的基本群体的一组同态，根据标签，将子午线送往特定的共轭类。我们还为第一个非平凡链接The HopF链接提供了完整的计算和类似的同构。
We provide the first complete computations of colored sl(N) homology for a nontrivial knot. In doing so, we show that the colored sl(N) homology of the trefoil labeled by an exterior power of the defining representation is isomorphic to the cohomology of a closed manifold naturally associated to the trefoil. This manifold is the set of homomorphisms from the fundamental group of the complement of the trefoil to SU(N) that send meridians to a particular conjugacy class depending on the label. We also provide complete computations and analogous isomorphisms for the first nontrivial link, the Hopf link.
