ToricQuiver _ List -- taking a subquiver by indexing

Synopsis

Operator: _
Usage:

Q_L
Inputs:
- Q, an instance of the type ToricQuiver,
- L, a list, of integers specifying which arrows to subset
Outputs:
- S, an instance of the type ToricQuiver, the subquiver in question

Description

This method returns a the subquiver of the quiver Q that is made up of the arrows in the list L. Note that this method re-orders the subquiver labels to create a standalone quiver. To retain the original quiver labels on the subquiver, see the SeeAlso.

i1 : Q = bipartiteQuiver(2, 3)

o1 = ToricQuiver{flow => {1, 1, 1, 1, 1, 1}                            }
                 IncidenceMatrix => | -1 -1 -1 0  0  0  |
                                    | 0  0  0  -1 -1 -1 |
                                    | 1  0  0  1  0  0  |
                                    | 0  1  0  0  1  0  |
                                    | 0  0  1  0  0  1  |
                 Q0 => {0, 1, 2, 3, 4}
                 Q1 => {{0, 2}, {0, 3}, {0, 4}, {1, 2}, {1, 3}, {1, 4}}
                 synonym => toric quiver
                 weights => {-3, -3, 2, 2, 2}

o1 : ToricQuiver

i2 : Q_{0,1,3}

o2 = ToricQuiver{flow => {1, 1, 1}              }
                 IncidenceMatrix => | -1 -1 0  |
                                    | 0  0  -1 |
                                    | 1  0  1  |
                                    | 0  1  0  |
                 Q0 => {0, 1, 2, 3}
                 Q1 => {{0, 2}, {0, 3}, {1, 2}}
                 synonym => toric quiver
                 weights => {-2, -1, 2, 1}

o2 : ToricQuiver

Ways to use this method:

ToricQuiver _ List -- taking a subquiver by indexing

ToricQuiver _ List -- taking a subquiver by indexing

Synopsis

Description

See also

Ways to use this method: