Method of pseudoholomorphic curves and applications (Part 4)
Year: 2012
Type: other
Abstract: The method of « pseudoholomorphic » curves proved itself to be extremely useful in different fields. In symplectic topology, for instance Gromov’s Nonsqueezing Theorem, Arnold’s conjecture and the Floer homology, the Gromov-Witten invariants. In complex analysis and geometry, for instane polynomial hulls of totally real surfaces, envelopes of meromorphy, holomorphic foliations. We shall develop the theory of complex curves in almost complex manifolds and discuss some of these applications in our lectures.
Source: HAL
Authors: Serguei Ivachkovitch, Robert Binder, Fanny Bastien
Institutions: Université de Lille, Institut Fourier
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2616849260