FormalGeomNotes/anss2.tex at master · ecpeterson/FormalGeomNotes · GitHub

1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
% -*- root: main.tex -*-

\begin{sseqpage}[
    degree={-1}{#1},
    differentials={-{>[width=4]}, target anchor=-35},
    classes={minimum width={0.3ex}},
    %edge labels=description,
    math nodes,
    y range={0}{10},
    x range={0}{17},
    xscale=0.8,
    yscale=0.65,
    above left label distance={0em},
    label distance={0.2em},
]

\node[rectangle,fill] at (0,0) {};
\class(0,0)

\etaclass["{\alpha_1}" {above left=0.2em}](1,1)
% the eta tower on alpha_1
\etaclass["\alpha_1^2" {above left=0.2em}](2,2)
\etaclass["\alpha_1^3" {above left=0.2em}](3,3)
\etaclass["\alpha_1^4" {above left=0.2em}](4,4)
\etaclass["\alpha_1^5" {above left=0.2em}](5,5)
\etaclass["\alpha_1^6" {above left=0.2em}](6,6)
\etaclass(7,7)
\etaclass(8,8)
\etaclass(9,9)
\etaclass(10,10)
\etaclass(11,11)
\etaclass(12,12)
\etaclass(13,13)

\class["{\alpha_{2/2}}" {below=0.01em}, circlen=2] (3,1)

\class["\alpha_3" {below=0.2em}] (5,1)
% the eta tower on alpha_3
\etaclass(6,2)
\etaclass(7,3)
\etaclass(8,4)
\etaclass(9,5)
\etaclass(10,6)
\etaclass(11,7)
\etaclass(12,8)
\etaclass(13,9)
\etaclass(14,10)
\etaclass(15,11)

\class["{\alpha_{4/4}}" {below=0.1em}, circlen=4] (7,1)
% the eta tower on alpha_4
\etaclass(8,2)
\etaclass(9,3)
\etaclass(10,4)
\etaclass(11,5)
\etaclass(12,6)
\etaclass(13,7)
\etaclass(14,8)
\etaclass(15,9)
\etaclass(16,10)
\etaclass(17,11)
\etaclass(18,12)

\class["\alpha_5" {below=0.2em}] (9,1)
% the eta tower on alpha_5
\etaclass(10,2)
\etaclass(11,3)
\etaclass(12,4)
\etaclass(13,5)
\etaclass(14,6)
\etaclass(15,7)
\etaclass(16,8)
\etaclass(17,9)
\etaclass(18,10)
\etaclass(19,11)
\etaclass(20,12)

\class["\alpha_{6/3}" {below=0.2em}, circlen=3] (11,1)
% the eta tower on alpha_6
\etaclass(12,2)
\etaclass(13,3)
\etaclass(14,4)
\etaclass(15,5)
\etaclass(16,6)
\etaclass(17,7)
\etaclass(18,8)
\etaclass(19,9)

\class["\alpha_7" {below=0.2em}] (13,1)
% the eta tower on alpha_7
\etaclass(14,2)
\etaclass(15,3)
\etaclass(16,4)
\etaclass(17,5)
\etaclass(18,6)
\etaclass(19,7)
\etaclass(20,8)
\etaclass(21,9)

\class["\alpha_{8/5}" {below=0.2em}, circlen=5] (15,1)
% the eta tower on alpha_8
\etaclass(16,2)
\etaclass(17,3)
\etaclass(18,4)
\etaclass(19,5)
\etaclass(20,6)

\class["\alpha_9" {below=0.2em}] (17,1)
% the eta tower on alpha_9
\etaclass(18,2)
\etaclass(19,3)
\etaclass(20,4)


% the beta family
\class["{\beta_{2/2}}" {below=0.05em}](6,2)
\class["\beta_2" {below=0.2em}](8,2)
\class["\alpha_{2/2}^3" {below=0.2em}](9,3) \structline(8,2,-1)(9,3,-1)
\class["{\beta_{4/4}}" {below=0.2em}](14,2)
\class["\beta_3" {below right=0.2em}](14,2) \etaclass(15,3)
\class["{\beta_{4/3}}" {below=0.2em}](16,2) \etaclass(17,3)
\class["{\alpha_{2/2} \beta_3}" {below=0.2em}](17,3)


% the additive extensions
\structline[densely dotted](3,1)(3,3)
\structline[densely dotted](11,1)(11,3)

% differentials off of alpha_3
\d3(5,1)
\d3(6,2,1,1)
\d3(7,3)
\d3(8,4)
\d3(9,5)
\d3(10,6)
\d3(11,7)
\d3(12,8)
\d3(13,9)
\d3(14,10)

% differentials off of alpha_6
\d3(11,1)
\d3(12,2)
\d3(13,3)
\d3(14,4)
\d3(15,5)
\d3(16,6)
\d3(17,7)
\d3(18,8)

% differentials off of alpha_7
\d3(13,1)
\d3(14,2,1,1)
\d3(15,3,1,1)
\d3(16,4)
\d3(17,5)
\d3(18,6)

\end{sseqpage}