53 citations · 291 across the 36 of their papers we have counts for
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On the Witten-Reshetikhin-Turaev representations of mapping class groups
Patrick M. Gilmer
We consider a central extension of the mapping class group of a surface with a collection of framed colored points. The Witten-Reshetikhin-Turaev TQFTs associated to SU(2) and SO(3…
Turaev-Viro Modules of Satellite knots
Patrick M. Gilmer
Given an oriented knot K in S^3 and a TQFT, Turaev and Viro defined modules somewhat analogous to the Alexander module. We work with the (V_p,Z_p) theories of Blanchet, Habegger, M…
A TQFT for Wormhole cobordisms over the field of rational functions
Patrick Gilmer
We consider a cobordism category whose morphisms are punctured connect sums of 's (wormhole spaces) with embedded admissibly colored banded trivalent graphs. We def…
Invariants for 1-dimensional cohomology classes arising from TQFT
Patrick Gilmer
Let be a Topological Quantum Field Theory over a field defined on a cobordism category whose morphisms are oriented -manifolds perhaps with extra structure. Let $(…