3 papers
math.AT2022
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…
math.GT2020
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…
math.AT2018
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…