In this paper, it is shown that for a 3-dimensional small cover M over a polytope P, there are only 2-torsions in H_1(M; Z). Moreover, the mod 2 Betti number growth of finite covers of M is studied.
基金supported by the National Natural Science Foundation of China(Nos.11371094,11771088)
文摘In this paper, it is shown that for a 3-dimensional small cover M over a polytope P, there are only 2-torsions in H_1(M; Z). Moreover, the mod 2 Betti number growth of finite covers of M is studied.