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0111 · Jul 201319922001200920172026
4 results for SL3-webs

Natural coordinates for SL3-webs on surfaces are shown to be consistent under triangulation changes.

problem Natural coordinates for SL3-webs on surfaces.
method Showed natural coordinates are consistent under triangulation changes using cluster transformations.
result Natural coordinates for SL3-webs on surfaces are consistent under triangulation changes.

This thesis splits into two major parts. The connection between the two parts is the notion of "categorification" which we shortly explain/recall in the introduction. In the first part of this thesis we extend Bar-Natan's cobordism based categorification of the Jones polynomial to virtual links. Our topological complex…

2013-07-03abs ↗pdf ↗

New coordinates for SL3-web graphs on surfaces defined by Fock-Goncharov.

problem Characterizing functions on SL3-character varieties of surfaces.
method Introduced tropical Fock-Goncharov coordinates based on Knutson-Tao rhombus inequalities and congruence conditions.
result Tropical coordinates naturally index the commutative algebra of functions on SL3-character varieties.