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New families of symplectomorphisms of 4-manifolds

Geometry/Topology

Speaker: Ailsa Keating, Cambridge
Location: 2112 MSB
Start time: Thu, Dec 1 2022, 2:10PM

We introduce two new families of four-dimensional symplectomorphisms, inspired by mirror symmetry. The basic symplectic manifolds which support these are Weinstein four-manifolds with explicit descriptions. The new symplectomorphisms are a) "Lagrangian translations", which are mirror to tensors with line bundles; and b) "nodal slide recombinations", are mirror to biholomorphisms. Joint work with Paul Hacking.