AbstractA sufficient condition in terms of Jiang subgroup is presented for the vanishing of signature and arithmetic genus. Along this line, some progress can be made on a question of Farrell and a complex version's Hopf conjecture
AbstractIt is well-known since the work of Hopf, Drinfel’d, Majid, Witten, and etc. in the late 20th century that Hopf algebra quantum groups play a signification role in both physics and mathematics. In particular, the category of representations of quantum groups are braided, and hence captures invariants of knots. This talk is based on works with F. Girelli, where we develop a systematic ca...