5 papers · 1 filter
Non-commutative Donaldson-Thomas theory and the conifold
Balazs Szendroi
Given a quiver algebra A with relations defined by a superpotential, this paper defines a set of invariants of A counting framed cyclic A-modules, analogous to rank-1 Donaldson-Tho…
Artin group actions on derived categories of threefolds
Balazs Szendroi
Motivated by the enhanced gauge symmetry phenomenon of the physics literature and mirror symmetry, this paper constructs an action of an Artin group on the derived category of cohe…
On a conjecture of Cox and Katz
Balazs Szendroi
This note shows that a certain toric quotient of the quintic Calabi-Yau threefold in projective four-space provides a counterexample to a recent conjecture of Cox and Katz concerni…
Diffeomorphisms and families of Fourier-Mukai transforms in mirror symmetry
Balazs Szendroi
Assuming the standard framework of mirror symmetry, a conjecture is formulated describing how the diffeomorphism group of a Calabi-Yau manifold Y should act by families of Fourier-…
On an example of Aspinwall and Morrison
Balazs Szendroi
In this paper, a family of smooth multiply connected Calabi--Yau threefolds is investigated. The family presents a counterexample to global Torelli as conjectured by Aspinwall and…