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In the third paper in this series, we examine the Reshetikhin-Turaev and Turaev-Viro TQFTs at the level of surfaces. In particular, we show that for a closed surface , ZTV,C() = ZRT,Z(C)(), thus e...
Considerations about Andrews-Curtis invariants based on sliced 2-complexes
Considerations Andrews-Curtis invariants sliced 2-complexes
2011/1/20
Considerations about Andrews-Curtis invariants based on sliced 2-complexes.
Polynomial invariants of graphs on surfaces
Graphs on surfaces ribbon graphs matroids Krushkal polynomial
2011/2/25
For a graph embedded into a surface, we relate many combinatorial parameters of the cycle matroid of the graph and the bond matroid of the dual graph with the topological parameters of the embedding. ...
Based on the proof of Labastida-Mari˜no-Ooguri-Vafa conjecture [6], we derive an infinite product formula for Chern-Simons partition functions, the generating function of quantum slN invariants. ...