6 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…
Local Normal Forms of Noncommutative Functions
Gavin Brown, Michael Wemyss
This article describes local normal forms of functions in noncommuting variables, up to equivalence generated by isomorphism of noncommutative Jacobi algebras, extending singularit…
Stringy Kähler moduli, mutation and monodromy
Will Donovan, Michael Wemyss
This paper gives the first description of derived monodromy on the stringy Kähler moduli space (SKMS) for a general irreducible flopping curve C in a 3-fold X with mild singularit…
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…