论文标题
t(2,m)的gysin序列和SL(n)同源性
The Gysin sequence and the sl(N) homology of T(2,m)
论文作者
论文摘要
可以明确计算圆环结或链接t(2,m)的SL(n)同源性。通过直接比较,结果与结组的SU(n)表示自然相关的空间的同构成。为了纪念汤姆·莫罗卡(Tom Mrowka)的60岁生日,我们解释了如何使用吉林(Gysin)精确序列来证明这些群体是同构的,而无需明确计算它们。
The sl(N) homology of the torus knot or link T(2,m) may be calculated explicitly. By direct comparison, the result is isomorphic to the cohomology of a naturally associated space of SU(N) representations of the knot group. In honor of Tom Mrowka's 60th birthday, we explain how the Gysin exact sequence may be used to show that these groups are isomorphic without explicitly calculating them.