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NEAR OPTIMAL BOUNDS IN FREIMAN'S THEOREM

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HOLOMORPHIC OPEN BOOK DECOMPOSITIONS 81<br />

[10] J. W. ALEXANDER, A lemma on systems of knotted curves, Proc. Natl. Acad. Sci. USA<br />

9 (1923), 93 – 95. 30<br />

[11] L. BERS, Riemann Surfaces, lectures, New York University, 1957 – 1958.<br />

[12] L. BERS and L. NIRENBERG, “On a representation theorem for linear elliptic systems<br />

with discontinuous coefficients and its applications” in Convegno internazionale<br />

sulle equazioni lineari alle derivate parziali, Trieste (1954), 111 – 140,<br />

Cremonese, Rome, 1955. MR 0076981 60, 63, 64, 65, 66 60<br />

[13] S.-S. CHERN, An elementary proof of the existence of isothermal parameters on a<br />

surface, Proc. Amer. Math. Soc. 6 (1955), 771 – 782. MR 0074856 60, 63, 64,<br />

65<br />

[14] J. B. ETNYRE, Planar open book decompositions and contact structures,Int.Math.<br />

Res. Not. IMRN 2004, no. 79, 4255 – 4267. MR 2126827 31<br />

[15] O. FORSTER, Lectures on Riemann Surfaces, Grad. Texts in Math. 81, Springer, New<br />

York, 1981. MR 0648106 51<br />

[16] E. GIROUX,“Géométrie de contact: De la dimension trois vers les dimensions<br />

supérieures” in Proceedings of the International Congress of Mathematicians,<br />

Vol. II (Beijing, 2002), Higher Ed. Press, Beijing, 2002, 405 – 414. MR 1957051<br />

30, 31<br />

[17] H. HOFER, Pseudoholomorphic curves in symplectizations with applications to the<br />

Weinstein conjecture in dimension three, Invent. Math. 114 (1993), 515 – 563.<br />

MR 1244912 32<br />

[18] ———, “Holomorphic curves and real three-dimensional dynamics” in GAFA 2000<br />

(Tel Aviv, 1999), Geom. Funct. Anal. 2000, Special Volume, Part II, 674 – 704.<br />

MR 1826268<br />

[19] H. HOFER, K. WYSOCKI,andE. ZEHNDER, Properties of pseudoholomorphic curves in<br />

symplectizations, II: Embedding controls and algebraic invariants, Geom. Funct.<br />

Anal. 5 (1995), 270 – 328. MR 1334869<br />

[20] ———, The dynamics on three-dimensional strictly convex energy surfaces,<br />

Ann. of Math. (2) 148 (1998), 197 – 289. MR 1652928 35<br />

[21] ———, Properties of pseudoholomorphic curves in symplectizations,. III: Fredholm<br />

theory, Progr. Nonlinear Differential Equations Appl. 35,Birkhäuser, Basel,<br />

1999, 381 – 475. MR 1725579 58<br />

[22] ———, Finite energy foliations of tight three-spheres and Hamiltonian dynamics,<br />

Ann. of Math. (2) 157 (2003), 125 – 255. MR 1954266 35<br />

[23] H. HOFER and E. ZEHNDER, Symplectic Invariants and Hamiltonian Dynamics,<br />

Birkhäuser Advanced Texts: Basler Lehrbücher, Birkhäuser, Basel, 1994.<br />

MR 1306732 52<br />

[24] C. HUMMEL, Gromov’s Compactness Theorem for Pseudoholomorphic Curves, Prog.<br />

Math. 151,Birkhäuser, Basel, 1997. MR 1451624<br />

[25] P. D. LAX, Functional Analysis, John Wiley, New York, 2001. MR 1892228 61<br />

[26] L. LICHTENSTE<strong>IN</strong>, Zur Theorie der konformen Abbildung nichtanalytischer,<br />

singularitätenfreier Flächenstücke auf ebene Gebiete, J. Krak. Auz. (1916),<br />

192 – 217. 60

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