The links between the theory of cluster algebras [19],[20],[6],[22] and functional identities for
the Rogers dilogarithm first became apparent through Fomin-Zelevinsky's proof [21] of …

Abstract Given a log Calabi–Yau surface Y with maximal boundary D and distinguished
complex structure, we explain how to construct a mirror Lefschetz fibration w: M→ ℂ, where …

Suppose that f: X → Spec\, R f: X→ Spec R is a minimal model of a complete local
Gorenstein 3-fold, where the fibres of f are at most one dimensional, so by Van den Bergh …

In this article we consider exceptional sequences of invertible sheaves on smooth complete
rational surfaces. We show that to every such sequence one can associate a smooth …

We classify Brauer graph algebras up to derived equivalence by showing that the set of
derived invariants introduced by Antipov is complete. These algebras first appeared in …

We show that TBA equations defined by the BPS spectrum of $5 d $$\mathcal {N}= 1$$ SU
(2) $ Yang-Mills on $ S^ 1\times\mathbb {R}^ 4$ encode the q-Painlevé III $ _3 $ equation …

In this article we study higher preprojective algebras, showing that various known results for
ordinary preprojective algebras generalize to the higher setting. We first show that the quiver …

In [ChRou], the authors initiated the higher representation theory of Kac-Moody algebras.
One of the key constructions was a categorical lift of the adjoint action of simple reflections of …

We study the Virasoro constraints for moduli spaces of representations of quiver with
relations by Joyce's vertex algebras. Using the framed Virasoro constraints, we construct a …

For a cyclic group G acting on a smooth variety X with only one character occurring in the G-
equivariant decomposition of the normal bundle of the fixed point locus, we study the …