aDepartment of Mathematics, Louisiana State University, Baton Rouge, LA 70803, USA;bInstitut de Mathématiques de Jussieu (UMR 7586 du CNRS), Université Paris 7 (Denis Diderot), Case 7012, 2, place Jussieu, 75251 Paris Cedex 05, France
Abstract:
We find explicit bases for naturally defined lattices over a ring of algebraic integers in the SO(3)-TQFT-modules of surfaces at roots of unity of odd prime order. Some applications relating quantum invariants to classical 3-manifold topology are given.