68 citations · 333 across the 29 of their papers we have counts for
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math.AG2013★ 11 cited
The critical CoHA of a quiver with potential
Ben Davison
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 env…
math.RT2013★ 4 cited
Purity of critical cohomology and Kac's conjecture
Ben Davison
We provide a new proof of the Kac positivity conjecture for an arbitrary quiver . The ingredients are the cohomological integrality theorem in Donaldson-Thomas theory, dimension…
math.AG2013★ 36 cited
Purity for graded potentials and quantum cluster positivity
Ben Davison, Davesh Maulik, Joerg Schuermann +1
Consider a smooth quasiprojective variety X equipped with a C*-action, and a regular function f: X -> C which is C*-equivariant with respect to a positive weight action on the base…