1549055384-Symplectic_Geometry_and_Topology__Eliashberg_

Lecture 4. The Weinstein Conjecture in the Tight Case 4.1. Sketch of the proof In the case that the contact form is tight and n2 ...

88 H. HOFER, HOLOMORPHIC CURVES AND DYNAMICS Of course the argument only works if we prove some uniqueness result, which would i ...

LECTURE 4. THE WEINSTEIN CONJECTURE IN THE TIGHT CASE 89 the following: Don Dv f:. 0, DT n Dv = 0 for TE (-c:,O). We also assume ...

90 H. HOFER, HOLOMORPHIC CURVES AND DYNAMICS We have Tv(z 0 )i = iTv(zo) since J( v(zo)) = J(zo, 0) = i. Now Tv(zo)(Tz 0 8 D) T ...

LECTURE 4. THE WEINSTEIN CONJECTURE IN THE TIGHT CASE 91 We have <T((-co,co)) C JR since b((-co,co)) c R Let us write 00 < ...

92 H. HOFER, HOLOMORPHIC CURVES AND DYNAMICS near the point zo where Dv and Do intersect for T < 0 close enough to zero. This ...

LECTURE 4. THE WEINSTEIN CONJECTURE IN THE TIGHT CASE 93 and v(8A) c 8D x JR if 8A = 8D n A=/. 0. Moreover • v(A) n Do =f. 0 • v ...

94 H. HOFER, HOLOMORPHIC CURVES AND DYNAMICS denote the local components in the model M. Since v(A) c w-UM, a(oA) c 8D, where v ...

Lecture 5. Some Outlook In the previous sections we described some of the details of the proof of the Weinstein conjecture. If o ...

96 H. HOFER, HOLOMORPHIC CURVES AND DYNAMICS and non-mathematical discussions. Many thanks also to the organizers, the staff and ...

Bibliography C. Abbas and H. Hofer. Holomorphic curves and global questions in contact geometry. To appear in Birkhiiuser. C. A ...

98 H. HOFER, HOLOMORPHIC CURVES AND DYNAMICS I. Ekeland. Une theorie de Morse pour les systemes hamiltoniens convexes. Ann. Ins ...

BIBLIOGRAPHY 99 M. Herman. Examples of compact hypersurfaces in JR^2 P, 2p ;:::: 6 with no periodic orbits. Manuscript, 1994 H. ...

100 H. HOFER, HOLOMORPHIC CURVES AND DYNAMICS 60. M. Kontsevich. Enumeration of rational curves via torus actions. The moduli sp ...

BIBLIOGRAPHY 101 C. Viterbo. A proof of the Weinstein conjecture in JR^2 n. Ann. Inst. H. Poincare, Anal. non lineaire, 4:337-3 ...

...

An Introduction to the Seiberg-Witten Equations on Symplectic Manifolds 1 Michael Hutchings and Clifford Henry Taubes^2 1 Based ...

...

!AS/Park City Mathematics Series Volume 7, 1999 An Introduction to the Seiberg-Witten Equations on Symplectic Manifolds Michael ...

...