4 papers
Splitting Symplectic Monodromy
Ailsa Keating, Ivan Smith, Michael Wemyss
We discuss some examples in which symplectic monodromy (provably or conjecturally) splits off the symplectic mapping class group, hoping to illustrate different techniques and inpu…
Homological mirror symmetry for projective K3 surfaces
Paul Hacking, Ailsa Keating
We prove the homological mirror symmetry conjecture of Kontsevich for K3 surfaces in the following form: The Fukaya category of a projective K3 surface is equivalent to the derived…
A universal mirror to as a birational object
Ailsa Keating, Abigail Ward
We study homological mirror symmetry for viewed as an object of birational geometry, with the standard meromorphic volume form. First, we construct universa…
Symplectomorphisms of exotic discs
Roger Casals, Ailsa Keating, Ivan Smith
We construct a symplectic structure on a disc that admits a compactly supported symplectomorphism which is not smoothly isotopic to the identity. The symplectic structure has an ov…