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D.4.6.7 computeGromovWitten
Procedure from library ellipticcovers.lib (see ellipticcovers_lib).
- Usage:
- computeGromovWitten(G, d, st, en [, vb] ); G graph, d int, st int, en int, optional: vb int
- Assume:
- G is a Feynman graph, d a non-negative integer, st specified the start- and en the end partition
in the list pa = partition(d). Specifying a positive optional integer vb leads to intermediate printout.
We assume that the coefficient ring has one rational variable for each vertex of G.
- Return:
- list L, where L[i] is gromovWitten(G,pa[i]) and all others are zero.
- Theory:
- This function does essentially the same as the function gromovWitten, but is designed for handling complicated examples.
Eventually it will also run in parallel.
Example:
| | LIB "ellipticcovers.lib";
ring R=(0,x1,x2,x3,x4),(q1,q2,q3,q4,q5,q6),dp;
graph G = makeGraph(list(1,2,3,4),list(list(1,3),list(1,2),list(1,2),list(2,4),list(3,4),list(3,4)));
partitions(6,2);
==> [1]:
==> 0,0,0,0,0,2
==> [2]:
==> 0,0,0,0,1,1
==> [3]:
==> 0,0,0,0,2,0
==> [4]:
==> 0,0,0,1,0,1
==> [5]:
==> 0,0,0,1,1,0
==> [6]:
==> 0,0,0,2,0,0
==> [7]:
==> 0,0,1,0,0,1
==> [8]:
==> 0,0,1,0,1,0
==> [9]:
==> 0,0,1,1,0,0
==> [10]:
==> 0,0,2,0,0,0
==> [11]:
==> 0,1,0,0,0,1
==> [12]:
==> 0,1,0,0,1,0
==> [13]:
==> 0,1,0,1,0,0
==> [14]:
==> 0,1,1,0,0,0
==> [15]:
==> 0,2,0,0,0,0
==> [16]:
==> 1,0,0,0,0,1
==> [17]:
==> 1,0,0,0,1,0
==> [18]:
==> 1,0,0,1,0,0
==> [19]:
==> 1,0,1,0,0,0
==> [20]:
==> 1,1,0,0,0,0
==> [21]:
==> 2,0,0,0,0,0
computeGromovWitten(G,2,3,7);
==> [1]:
==> 0
==> [2]:
==> 0
==> [3]:
==> 0
==> [4]:
==> 0
==> [5]:
==> 0
==> [6]:
==> 8
==> [7]:
==> 0
==> [8]:
==> 0
==> [9]:
==> 0
==> [10]:
==> 0
==> [11]:
==> 0
==> [12]:
==> 0
==> [13]:
==> 0
==> [14]:
==> 0
==> [15]:
==> 0
==> [16]:
==> 0
==> [17]:
==> 0
==> [18]:
==> 0
==> [19]:
==> 0
==> [20]:
==> 0
==> [21]:
==> 0
computeGromovWitten(G,2,3,7,1);
==> 21
==> 3 / 21 0,0,0,0,2,0 0 0 0
==> 4 / 21 0,0,0,1,0,1 0 0 1
==> 5 / 21 0,0,0,1,1,0 0 0 0
==> 6 / 21 0,0,0,2,0,0 8 8 0
==> 7 / 21 0,0,1,0,0,1 0 8 1
==> [1]:
==> 0
==> [2]:
==> 0
==> [3]:
==> 0
==> [4]:
==> 0
==> [5]:
==> 0
==> [6]:
==> 8
==> [7]:
==> 0
==> [8]:
==> 0
==> [9]:
==> 0
==> [10]:
==> 0
==> [11]:
==> 0
==> [12]:
==> 0
==> [13]:
==> 0
==> [14]:
==> 0
==> [15]:
==> 0
==> [16]:
==> 0
==> [17]:
==> 0
==> [18]:
==> 0
==> [19]:
==> 0
==> [20]:
==> 0
==> [21]:
==> 0
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