DELTA-STRUCTURES ON MAPPING CLASS GROUPS AND BRAID GROUPS

作者：Berrick A J^*; Hanbury E; Wu J

来源：Transactions of the American Mathematical Society, 2014, 366(4): 1879-1903.

We describe a Delta-group structure on the mapping class groups of surfaces, and show that it is compatible with the Delta-group structures of the braid groups of surfaces given by Berrick-Cohen-Wong-Wu. We then prove an isomorphism theorem relating these two Delta-groups. This is the first of a pair of papers on this topic.

• 出版日期2014-4