TQFTs and tight contact structures on 3-manifolds      
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Published on ● Video Link: https://www.youtube.com/watch?v=DjE_2I-PblQ
Topological quantum field theory methodology provides interesting perspectives on the classification of tight contact structures on 3-manifolds. It turns out that there are interesting unsolved problems about tight contact structures on the simplest 3-manifolds (3-ball and solid torus). Many of these can be reduced to the questions about the combinatorics of properly embedded arcs in the disk (D^2).
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