>> hf This diagram has 21 vertices. Do you want to see them? (y/n) y Each vertex can be identified with a point on exactly two curves. For example, a2(5) b3(7) means that the vertex is the fifth point on the second alpha curve and the seventh point on the third beta curve. Press any key to continue. 1 a1(2) b2(2) 2 a1(3) b1(2) 3 a1(4) b2(8) 4 a1(5) b1(6) 5 a1(6) b2(4) 6 a2(2) b2(7) 7 a2(3) b1(3) 8 a2(4) b2(3) 9 a2(5) b1(5) 10 a2(6) b2(9) 11 a2(7) b1(8) 12 a1(1) c1(1) 13 a2(2) c2(2) 14 b2(1) c1(2) 15 b1(1) c1(3) 16 b1(7) c1(4) 17 b2(5) c1(5) 18 b2(6) c2(2) 19 b1(4) c2(3) 20 b2(10) c2(4) 21 b1(9) c2(5) Do you want to see a curve? (y/n) y Type of curve (a/b/c) : b Number of curve (an integer between 1 and 2): 1 Here are the vertices on the curve, in order: 15 2 7 19 9 4 16 11 21 Do you want to see a curve? (y/n) n This diagram has 19 two-cells. Do you want to see them? (y/n) y Each two-cell is shown in terms of its vertices: Cell 1 : 12 1 14 Cell 2 : 1 12 17 18 19 9 8 Cell 3 : 1 2 15 14 Cell 4 : 2 1 8 7 Cell 5 : 2 3 10 11 16 15 Cell 6 : 3 2 7 6 Cell 7 : 3 4 9 10 Cell 8 : 4 3 6 13 21 15 16 Cell 9 : 4 5 8 9 Cell 10 : 5 4 16 17 Cell 11 : 5 12 14 20 19 7 8 Cell 12 : 12 5 17 Cell 13 : 13 6 18 Cell 14 : 6 7 19 18 Cell 15 : 10 9 19 20 Cell 16 : 11 10 20 21 Cell 17 : 11 13 18 17 16 Cell 18 : 13 11 21 Cell 19 : 15 21 20 14 In which cell do you want to put the basepoint? 5 This diagram has 3 spinc structures. Number of elements in each spinc structure: 5 5 5 This diagram has 15 generators. Do you want to see them? (y/n) y Each generator consists of 2 vertices. After an index, we show these vertices and the corresponding spinc structure. Press any key to continue. 1 1 7 1 2 1 9 2 3 1 11 3 4 3 7 2 5 3 9 3 6 3 11 1 7 5 7 3 8 5 9 1 9 5 11 2 10 2 6 2 11 2 8 1 12 2 10 3 13 4 6 2 14 4 8 1 15 4 10 3 Which spinc structure are you interested in? 2 Here are the generators and their relative Maslov gradings: Grading 1: 4 9 Grading 0: 2 10 13 For each domain of index 1, a potential holomorphic disk in the symmetric product has a preimage in Sym^{g-1}(\Sigma) \times Sigma which consists of t trivial disks and a connected surface of genus g with b boundary components. There are positive domains of index 1 between the following pairs: (4,2) t=0 g=0 b=2 (4,10) t=0 g=0 b=1 (9,2) t=0 g=0 b=2 (9,13) t=0 g=0 b=1 (2,(U^1)4) t=0 g=1 b=2 (2,(U^1)9) t=0 g=1 b=2 (10,(U^1)4) t=0 g=2 b=1 (10,(U^1)9) t=0 g=2 b=1 (13,(U^1)4) t=0 g=2 b=1 (13,(U^1)9) t=0 g=2 b=1 Do you want to look at a domain? (y/n) y First generator: 4 Power of U for the second generator: 0 Second generator: 2 This domain consist of the following two-cells, with the given multiplicities: 1 1 7 1 9 1 11 1 15 1 Do you want to look at a domain? (y/n) y First generator: 4 Power of U for the second generator: -1 Second generator: 2 This domain consist of the following two-cells, with the given multiplicities: 2 -1 3 -1 4 -1 6 -1 8 -1 10 -1 12 -1 13 -1 14 -1 16 -1 17 -1 18 -1 19 -1 Do you want to look at a domain? (y/n) n Do you want to go to a new spinc structure? (y/n) n >>