4 citations · 5 across the 6 of their papers we have counts for
6 papers
The generalized Harer conjecture for the homology triviality
Wonjun Chang, Byung Chun Kim, Yongjin Song
The classical Harer conjecture is about the stable homology triviality of the obvious embedding , which was proved by Song and Tillmann. The main…
An infinite family of braid group representations
Wonjun Chang, Byung Chun Kim, Yongjn Song
The -fold () branched coverings on a disk give an infinite family of nongeometric embeddings of braid groups into mapping class groups. We, in this paper, give new exp…
Configuration space, moduli space and 3-fold covering space
Byung Chun Kim, Yongjin Song
A function from configuration space to moduli space of surface may induce a homomorphism between their fundamental groups which are braid groups and mapping class groups of surface…
The braidings in the mapping class groups of surfaces
Yongjin Song
The disjoint union of mapping class groups of surfaces forms a braided monoidal category , as the disjoint union of the braid groups does. We give a concre…
Pillar switchings and acyclic embedding in mapping class group
Chan-Seok Jeong, Yongjin Song
The braid group is embedded in the ribbon braid group that is defined to be the mapping class group . By gluing two copies of surface along hol…
Braids, mapping class groups, and categorical delooping
Yongjin Song, Ulrike Tillmann
Dehn twists around simple closed curves in oriented surfaces satisfy the braid relations. This gives rise to a group theoretic from the braid group to the mapping class group. We p…