Chapter 59: Lagrangian 3-torus fibrations 001M

Castano-Bernard, R.; Matessi, D.

Original paper · arXiv:math/0611139v1

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Source edition: math/0611139v1

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Statements and objects

1. Definition 2.1 . [04HK]
2. Assumption 2.2 . [04HL]
3. Definition 2.3 . [04HM]
4. Proposition 2.4 . [04HN]
5. Remark 2.5 . [04HP]
6. Example 2.6 (Nodal fibration) . [04HQ]
7. Example 2.7 (Generic singular fibration) . [04HR]
8. Example 2.8 (Negative fibration) . [04HS]
9. Example 2.9 (Alternative negative fibration) . [04HT]
10. Example 2.10 (Positive fibration) . [04HU]
11. Theorem 2.11 (Gross) . [04HV]
12. Definition 3.1 . [04HX]
13. Proposition 3.2 (Arnold-Liouville) . [04HZ]
14. Proof. [04I0]
15. Theorem 3.3 (Duistermaat) . [04I1]
16. Proof. [04I2]
17. Corollary 3.4 . [04I3]
18. Proof. [04I4]
19. Corollary 3.5 . [04I5]
20. Definition 3.6 . [04I7]
21. Example 3.7 (The node) . [04I8]
22. Example 3.8 (The edge) . [04I9]
23. Example 3.9 (A variation) . [04IA]
24. Example 3.10 (Positive vertex) . [04IB]
25. Example 3.11 (A variation) . [04IC]
26. Example 3.12 (Negative vertex) . [04ID]
27. Example 3.13 (A variation) . [04IE]
28. Definition 3.14 . [04IF]
29. Corollary 3.15 . [04IG]
30. Example 3.16 . [04II]
31. Example 3.17 . [04IJ]
32. Example 3.18 (A variation) . [04IK]
33. Theorem 3.19 (Gross [ 7 ] ) . [04IL]
34. Example 3.20 . [04IN]
35. Remark 3.21 . [04IP]
36. Theorem 3.22 . [04IR]
37. Proof. [04IS]
38. Corollary 3.23 . [04IT]
39. Definition 4.1 . [04IV]
40. Example 4.2 . [04IX]
41. Example 4.3 . [04IY]
42. Example 4.4 . [04IZ]
43. Example 4.5 . [04J0]
44. Theorem 4.6 . [04J2]
45. Remark 4.7 . [04J3]
46. Proposition 4.8 . [04J4]
47. Proof. [04J5]
48. Corollary 4.9 . [04J6]
49. Proof. [04J7]
50. Proposition 4.10 . [04J8]
51. Proposition 4.11 . [04J9]
52. Proof. [04JA]
53. Remark 4.12 . [04JC]
54. Theorem 4.13 . [04JD]
55. Lemma 4.14 . [04JE]
56. Proof. [04JF]
57. Lemma 4.15 . [04JG]
58. Corollary 4.16 . [04JH]
59. Proposition 4.17 . [04JI]
60. Proof. [04JJ]
61. Proposition 4.18 . [04JL]
62. Theorem 4.19 . [04JM]
63. Remark 5.1 . [04JQ]
64. Proposition 5.2 . [04JR]
65. Remark 5.3 . [04JS]
66. Proposition 5.4 . [04JV]
67. Example 5.5 (The amoeba) . [04JX]
68. Example 5.6 (Stitched focus-focus) . [04JY]
69. Example 5.7 (The leg) . [04JZ]
70. Example 5.8 (The amoeba with thin legs) . [04K0]
71. Proposition 5.9 . [04K1]
72. Proof. [04K2]
73. Definition 6.1 . [04K4]
74. Example 6.2 (Stitched focus-focus, revisited) . [04K5]
75. Example 6.3 (The amoeba, revisited) . [04K6]
76. Definition 6.4 . [04K7]
77. Proposition 6.5 . [04K8]
78. Proof. [04K9]
79. Definition 6.6 . [04KA]
80. Example 6.7 (Normal forms) . [04KB]
81. Definition 6.8 . [04KC]
82. Proposition 6.9 . [04KD]
83. Proof. [04KE]
84. Definition 6.10 . [04KF]
85. Theorem 6.11 . [04KG]
86. Proof. [04KH]
87. Theorem 6.12 . [04KI]
88. Example 6.13 . [04KJ]
89. Example 6.14 . [04KL]
90. Theorem 6.15 . [04KM]
91. Proof. [04KN]
92. Remark 6.16 . [04KP]
93. Example 6.17 . [04KQ]
94. Example 6.18 . [04KR]
95. Theorem 6.19 . [04KS]
96. Remark 6.20 . [04KT]
97. Example 6.21 . [04KU]
98. Assumption 6.22 . [04KW]
99. Proposition 6.23 . [04KX]
100. Proof. [04KY]
101. Remark 6.24 . [04KZ]
102. Example 6.25 (Normal form of cylindrical type) . [04L0]
103. Definition 6.26 . [04L1]
104. Remark 6.27 . [04L2]
105. Proposition 6.28 . [04L3]
106. Proof. [04L4]
107. Theorem 6.29 . [04L5]
108. Proposition 6.30 . [04L6]
109. Definition 7.1 . [04L8]
110. Proposition 7.2 . [04L9]
111. Theorem 7.3 . [04LA]
112. Lemma 7.4 . [04LC]
113. Proof. [04LD]
114. Remark 7.5 . [04LE]
115. Lemma 7.6 . [04LG]
116. Proof. [04LH]
117. Remark 7.7 . [04LI]
118. Lemma 7.8 . [04LK]
119. Proof. [04LL]
120. Lemma 7.9 . [04LM]
121. Proof. [04LN]
122. Lemma 7.10 . [04LP]
123. Proof. [04LQ]
124. Corollary 7.11 . [04LR]
125. Proof. [04LS]
126. Lemma 7.12 . [04LU]
127. Proof. [04LV]
128. Proof of Theorem 7.3 . [04LW]
129. Definition 8.1 . [04LZ]
130. Theorem 8.2 . [04M0]
131. Proof. [04M1]
132. Corollary 8.3 . [04M2]
133. Proof. [04M3]

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