ERC Starting Grant · 2021
Singularities and symplectic mapping class groups
Symplectic topology is a central part of modern geometry, with historical roots in classical mechanics. Symplectic structures also arise naturally in low-dimensional topology, in representation theory, in the study of moduli spaces of algebraic varieties, and in quantum mechanics. A fundamental question is to understand the automorphisms of a symplectic manifold. The most natural ones are symplectomorphisms, i.e., diffeomorphisms preserving the symplectic structure. I propose to study structural properties of their group of isotopy classes, called the symplectic mapping class group (SMCG). In dimension two, the SMCG agrees with the classical mapping class group; in higher dimensions, our…
From the public funding record at EU CORDIS. Describes the funded project, not the reviews below.