Alexandre Minets

activity

20182023

most citedCohomological Hall algebras for Higgs torsion sheaves, moduli of triples and sheaves on surfaces

22 citations · 24 across the 3 of their papers we have counts for

collaborators

3 papers

math.AG2023

Coherent sheaves on surfaces, COHAs and deformed $W_{1 + \infty}$ -algebras

Anton Mellit, Alexandre Minets, Olivier Schiffmann +1

We compute the cohomological Hall algebra of zero-dimensional sheaves on an arbitrary smooth quasi-projective surface $S$ with pure cohomology, deriving an explicit presentation by…

math.AG2022★ 2 cited

$P = W$ via $H_{2}$

Tamas Hausel, Anton Mellit, Alexandre Minets +1

Let $H_{2}$ be the Lie algebra of polynomial Hamiltonian vector fields on the symplectic plane. Let $X$ be the moduli space of stable Higgs bundles of fixed relatively prim…

math.RT2018★ 22 cited

Cohomological Hall algebras for Higgs torsion sheaves, moduli of triples and sheaves on surfaces

Alexandre Minets

For any free oriented Borel-Moore homology theory $A$ , we construct an associative product on the $A$ -theory of the stack of Higgs torsion sheaves over a projective curve $C$ . We s…

Coherent sheaves on surfaces, COHAs and deformed W1+∞​-algebras

P=W via H2​

Cohomological Hall algebras for Higgs torsion sheaves, moduli of triples and sheaves on surfaces

Coherent sheaves on surfaces, COHAs and deformed $W_{1 + \infty}$ -algebras

$P = W$ via $H_{2}$