84 citations · 237 across the 31 of their papers we have counts for
34 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…
Spherical and Semibrick Classifications
Wahei Hara, Michael Wemyss
This article provides an overview of the techniques related to classification of spherical and more general objects within triangulated categories, and its relationship with algebr…
Trivial extension DG-algebras, unitally positive -algebras, and applications
Joseph Karmazyn, Emma Lepri, Michael Wemyss
To any periodic module over any algebra, this paper introduces an associated trivial extension DG-algebra T. After first passing to a strictly unital -minimal model, it t…
Noncommutative Singularity Theory
Gavin Brown, Michael Wemyss
This is an expository article on the noncommutative singularity theory of power series in noncommuting variables, its motivation from deformation theory, and its applications to co…
Derived deformation theory of crepant curves
Gavin Brown, Michael Wemyss
This paper determines the full derived deformation theory of certain smooth rational curves C in Calabi-Yau 3-folds, by determining all higher A_\infty-products in its controlling…
Spherical objects in dimensions two and three
Wahei Hara, Michael Wemyss
This paper classifies spherical objects in various geometric settings in dimensions two and three, including both minimal and partial crepant resolutions of Kleinian singularities,…