6 papers
Symplectomorphisms and spherical objects in the conifold smoothing
Ailsa Keating, Ivan Smith
Let denote the `conifold smoothing', the symplectic Weinstein manifold which is the complement of a smooth conic in , or equivalently the plumbing of two copies of $T^*…
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…
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 univer…
Symplectomorphisms of some Weinstein 4-manifolds
Paul Hacking, Ailsa Keating
Let M be a Weinstein four-manifold mirror to Y\D for (Y,D) a log Calabi--Yau surface; intuitively, this is typically the Milnor fibre of a smoothing of a cusp singularity. We intro…
Homological mirror symmetry for log Calabi-Yau surfaces
Paul Hacking, Ailsa Keating, Wendelin Lutz
Given a log Calabi-Yau surface with maximal boundary and distinguished complex structure, we explain how to construct a mirror Lefschetz fibration , wh…
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…