15 citations · 38 across the 10 of their papers we have counts for
5 papers · 1 filter
Topological Interpretations of Lattice Gauge Field Theory
Doug Bullock, Charles Frohman, Joanna Kania-Bartoszyńska
We construct lattice gauge field theory based on a quantum group on a lattice of dimension 1. Innovations include a coalgebra structure on the connections, and an investigation of…
Skein Homology
Doug Bullock, Charles Frohman, Joanna Kania-Bartoszynska
For each skein module we describe a homology theory which, for any three manifold recovers the skein module at its zero level. The theory measures skein-like relations among skein…
Skein Quantization and Lattice Gauge Field Theory
Doug Bullock, Charles Frohman, Joanna Kania-Bartoszynska
This is a survey article describing the various ways in which the Kauffman bracket skein module is a quantization of surface group characters. These include a purely heuristic sens…
Rings of -Characters and the Kauffman Bracket Skein Module
Doug Bullock
Let be a compact orientable 3-manifold. The set of characters of representations of the fundamental group of forms a closed affine algebraic set. We sho…
Understanding the Kauffman bracket skein module
Doug Bullock, Charles Frohman, Joanna Kania-Bartoszynska
The Kauffman bracket skein module of a 3-manifold is defined over formal power series in the variable by letting . For a compact oriented surface , it…