Author pages are created from data sourced from our academic publisher partnerships and public sources.

Publications Influence

Share This Author

Cohomological Donaldson–Thomas theory of a quiver with potential and quantum enveloping algebras

- Ben Davison, Sven Meinhardt
- Mathematics, Physics
- 11 January 2016

This paper concerns the cohomological aspects of Donaldson–Thomas theory for Jacobi algebras and the associated cohomological Hall algebra, introduced by Kontsevich and Soibelman. We prove the… Expand

Consistency conditions for brane tilings

- Ben Davison
- Mathematics
- 22 December 2008

Abstract Given a brane tiling on a torus, we provide a new way to prove and generalise the recent results of Szendrői, Mozgovoy and Reineke regarding the Donaldson–Thomas theory of the moduli space… Expand

The integrality conjecture and the cohomology of preprojective stacks

- Ben Davison
- Mathematics
- 5 February 2016

By importing the compactly supported cohomology of various stacks of representations of the preprojective algebra $\Pi_Q$, for $Q$ an arbitrary quiver, into the theory of cohomological… Expand

Positivity for quantum cluster algebras

- Ben Davison
- Mathematics
- 28 January 2016

Building on work by Kontsevich, Soibelman, Nagao and Efimov, we prove the positivity of quantum cluster coefficients for all skew-symmetric quantum cluster algebras, via a proof of a conjecture first… Expand

Purity for graded potentials and quantum cluster positivity

- Ben Davison, D. Maulik, Joerg Schuermann, B. Szendrői
- MathematicsCompositio Mathematica
- 12 July 2013

Consider a smooth quasi-projective variety $X$ equipped with a $\mathbb{C}^{\ast }$-action, and a regular function $f:X\rightarrow \mathbb{C}$ which is $\mathbb{C}^{\ast }$-equivariant with respect… Expand

Superpotential algebras and manifolds

- Ben Davison
- Mathematics
- 18 October 2010

We study a special class of Calabi–Yau algebras (in the sense of Ginzburg): those arising as the fundamental group algebras of acyclic manifolds. Motivated partly by the usefulness of ‘superpotential… Expand

Donaldson-Thomas theory for categories of homological dimension one with potential

- Ben Davison, Sven Meinhardt
- Mathematics
- 30 December 2015

The aim of the paper is twofold. Firstly, we give an axiomatic presentation of Donaldson-Thomas theory for categories of homological dimension at most one with potential. In particular, we provide… Expand

The critical CoHA of a quiver with potential

- Ben Davison
- Mathematics
- 27 November 2013

Pursuing the similarity between the Kontsevich--Soibelman construction of the cohomological Hall algebra of BPS states and Lusztig's construction of canonical bases for quantum enveloping algebras,… Expand

The motivic Donaldson–Thomas invariants of ($-$2)-curves

- Ben Davison, Sven Meinhardt
- Mathematics
- 12 August 2012

We calculate the motivic Donaldson–Thomas invariants for (−2)-curves arising
from 3-fold flopping contractions in the minimal model program. We translate this
geometric situation into the machinery… Expand

The critical CoHA of a self dual quiver with potential

- Ben Davison
- Mathematics, Physics
- 27 November 2013

In this paper we provide an explanation for the many beautiful infinite product formulas for generating functions of refined DT invariants for symmetric quivers with potential: they are… Expand

...

1

2

3

...