39 citations · 69 across the 8 of their papers we have counts for
13 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 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^*…
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…
On the order of Dehn twists
Ailsa Keating, Oscar Randal-Williams
This note records the order of a higher dimensional Dehn twist in a range of topologically significant groups.
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…
Families of monotone Lagrangians in Brieskorn--Pham hypersurfaces
Ailsa Keating
We present techniques, inspired by monodromy considerations, for constructing compact monotone Lagrangians in certain affine hypersurfaces, chiefly of Brieskorn-Pham type. We focus…
On symplectic stabilisations and mapping classes
Ailsa Keating
We are interested in comparing properties of symplectic mapping class groups of symplectic manifolds of dimension four or higher with properties of classical mapping class groups o…
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…
Homological mirror symmetry for hypersurface cusp singularities
Ailsa Keating
We study versions of homological mirror symmetry for hypersurface cusp singularities and the three hypersurface simple elliptic singularities. We show that the Milnor fibres of eac…
Lagrangian tori in four-dimensional Milnor fibres
Ailsa Keating
The Milnor fibre of any isolated hypersurface singularity contains many exact Lagrangian spheres: the vanishing cycles associated to a Morsification of the singularity. Moreover, f…
Dehn twists and free subgroups of symplectic mapping class groups
Ailsa Keating
Given two Lagrangian spheres in an exact symplectic manifold, we find conditions under which the Dehn twists about them generate a free non-abelian subgroup of the symplectic mappi…