论文标题
同源缸和括号量化homfly-pt skein代数的约翰逊同构同构的总数
The total Johnson homomorphism on the homology cylinder and the bracket-quantization HOMFLY-PT skein algebra
论文作者
论文摘要
表面的同源圆柱会引起表面基本组完整组环的自动形态。我们引入了一种新的方法来通过使用表面的高盛代数或某些绞线代数来计算自动形态。特别是,我们对Kuno和Massuyeau的配方进行了改进。
A homology cylinder of a surface induces an automorphism of the completed group ring of the fundamental group of the surface. We introduce a new method of computing the automorphism by using the Goldman Lie algebra of the surface or some skein algebra. In particular, we give a refinement of a formula by Kuno and Massuyeau.