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connectionMatrix -- computes the connection matrix

Description

This method encodes the system of connection matrices in a single matrix. Its entries are differential one-forms in the variables of the underlying Weyl algebra.

i1 : D = makeWeylAlgebra(QQ[x,y]);
i2 : I = ideal(x*dx^2-y*dy^2+2*dx-2*dy, x*dx+y*dy+1);

o2 : Ideal of D
i3 : connectionMatrix I

o3 = | (-1)/xdx (-y)/xdx+dy |
     | 0        (-2)/ydy    |

Caveat

The output is purely for visualizing purposes.

See also

Ways to use connectionMatrix:

  • connectionMatrix(Ideal)
  • connectionMatrix(List)

For the programmer

The object connectionMatrix is a method function.


The source of this document is in ConnectionMatrices/docs.m2:260:0.