ERC Consolidator Grant · 2017
New transversality techniques in holomorphic curve theories
In the study of symplectic and contact manifolds, a decisive role has been played by the theory of pseudoholomorphic curves, introduced by Gromov in 1985. One major drawback of this theory is the fundamental conflict between "genericity" and "symmetry", which for instance causes moduli spaces of holomorphic curves to be singular or have the wrong dimension whenever multiply covered curves are present. Most traditional solutions to this problem involve abstract perturbations of the Cauchy-Riemann equation, but recently there has been progress in tackling the transversality problem more directly, leading in particular to a proof of the "super-rigidity" conjecture on symplectic Calabi-Yau…
From the public funding record at EU CORDIS. Describes the funded project, not the reviews below.