VasCalc Documentation - An example
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This is an example of how to use VasCalc. We check the third Reidemeister move against an almost-invariant (not a technical term).
The Reidemeister 3 Move
We want to use VasCalc to verify the third Reidemeister move. This is meant as a small example of how to use the VasCalc package.
The first couple of steps are to load up VasCalc.
In[1]:=
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<<CDinterface.m
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In[2]:=
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SetVasCalcPath["/home/zavosh/vc"];
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Now we need to load the definitions of and as defined in Dror's paper on Non-Associative Tangles:
In[3]:=
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Phi = ASeries[1 + (1/24)*CD[Line[1],
Line[2], Line[1, 2]] - (1/24)*CD[Line[2], Line[1], Line[1, 2]], 3, 0, 3]
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Out[3]=
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ASeries[3, 0, {«JavaObject[vectorSpace.Coefficient]»,
«JavaObject[vectorSpace.Coefficient]», «JavaObject[ChordVector]»,
«JavaObject[vectorSpace.Coefficient]»}]
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In[4]:=
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R = ASeries[1 + (1/2)CD[Line[1], Line[1]]
+ (1/8)CD[Line[1, 2], Line[1, 2]] + (1/48)CD[Line[1, 2, 3], Line[1, 2, 3]]
, 2, 0]
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Out[4]=
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ASeries[2, 0, {«JavaObject[vectorSpace.Coefficient]», «JavaObject[ChordVector]», «JavaObject[ChordVector]», «JavaObject[ChordVector]»}]
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