TY  - JOUR
AB  - We apply the method of filling with holomorphic discs to a 4-dimensional symplectic cobordism with the standard contact 3-sphere as one convex boundary component. We establish the following dichotomy: either the cobordism is diffeomorphic to a ball, or there is a periodic Reeb orbit of quantifiably short period in the concave boundary of the cobordism. This allows us to give a unified treatment of various results concerning Reeb dynamics on contact 3-manifolds, symplectic fillability, the topology of symplectic cobordisms, symplectic nonsqueezing, and the nonexistence of exact Lagrangian surfaces in standard symplectic 4-space.
AU  - Geiges, Hansjörg
AU  - Zehmisch, Kai
DA  - 2013
LA  - eng
IS  - Münster Journal of Mathematics
M2  - 525
PY  - 2013
SP  - 525-554
T2  - Münster Journal of Mathematics
TI  - How to recognize a 4-ball when you see one
UR  - https://nbn-resolving.org/urn:nbn:de:hbz:6-55309457138
Y2  - 2024-11-22T08:14:45
ER  -