Braid groups and discrete diffeomorphisms of the punctured disk

作者：Nariman Sam^*

来源：Mathematische Zeitschrift, 2018, 288(3-4): 1255-1271.

DOI：10.1007/s00209-017-1933-9

We show that the group cohomology of the diffeomorphisms of the disk with n punctures has the cohomology of the braid group of n strands as the summand. As an application of this method, we also prove that there is no cohomological obstruction to lifting the "standard" embedding to a group homomorphism between diffeomorphism groups.

• 出版日期2018-4
• 单位西北大学