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 quantumâ€¦ (More)

We discuss two ways that the ring of coeffients for a TQFT can be reduced if one may restrict somewhat the allowed cobordisms. When we apply both methods to a TQFT associated to SO(3) and an oddâ€¦ (More)

We show how the periodicity of a homology sphere is reflected in the Reshetikhin-Turaev-Witten invariants of the manifold. These yield a criterion for the periodicity of a homology sphere.

Abstract. If M is a compact oriented 3-manifold, let S(M) denote the Homflypt skein module of M. We show that S(M1#M2) is isomorphic to S(M1)âŠ— S(M2) modulo torsion. In fact, we show that S(M1#M2) isâ€¦ (More)

We construct integral bases for the SO(3)-TQFT-modules of surfaces in genus one and two at roots of unity of prime order and show that the corresponding mapping class group representations preserve aâ€¦ (More)

We consider a central extension of the mapping class group of a surface with a collection of framed colored points. The Witten-ReshetikhinTuraev TQFTs associated to SU(2) and SO(3) induce linearâ€¦ (More)

Let (V,Z) be a Topological Quantum Field Theory over a field f defined on a cobordism category whose morphisms are oriented n+1-manifolds perhaps with extra structure (for example a p1 structure andâ€¦ (More)

Let p be an odd prime and r be relatively prime to p. Let G be a finite pâ€“group. Suppose an oriented 3â€“manifold MÌƒ has a free Gâ€“action with orbit space M . We consider certain Wittenâ€“Reshetikhinâ€“â€¦ (More)

We consider a cobordism category whose morphisms are punctured connect sums of S Ã—Sâ€™s (wormhole spaces) with embedded admissibly colored banded trivalent graphs. We define a TQFT on this cobordismâ€¦ (More)