Mochizuki's quandle 3-cocycle invariant of links S^3 is one of the Dijkgraaf-Witten invariants

Abstract: Let p be an odd prime, and \phi the Mochizuki 3-cocycle of "the
dihedral quandle" of order p. Using the 3-cocycle, Carter-Kamada-Saito
combinatorially defined a shadow quandle cocycle invariant of links in
S^3. Let M_L be the double covering branched along a link L. Our main
result is that the cocycle invariant of L equals the Dijkgraaf-Witten
invariant of M_L with respect to the group Z/pZ. We further compute
Dijkgraaf-Witten invariants of some 3-manifolds. In this talk, I
introduce a simple proof of the equality. This  is a joint work with Eri
Hatakenaka