53 citations · 291 across the 36 of their papers we have counts for
Showing 1998 · math.GTShow all
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math.GT1998★ 10 cited
3-manifold invariants and periodicity of homology spheres
Patrick M. Gilmer, Joanna Kania-Bartoszynska, Jozef H. Przytycki
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…
math.GT1998★ 10 cited
Topological Quantum Field Theory And Strong Shift Equivalence
Patrick M. Gilmer
Given a TQFT in dimension d+1, and an infinite cyclic covering of a closed (d+1)-dimensional manifold M, we define an invariant taking values in a strong shift equivalence class of…
math.GT1998★ 5 cited
Skein theory and Witten-Reshetikhin-Turaev Invariants of links in lens spaces
Patrick M. Gilmer
We study the behavior of the Witten-Reshetikhin-Turaev SU(2) invariants of links in L(p,q) as a function of the level r-2. They are given by 1 over the square root of r times one o…