129 citations · 570 across the 48 of their papers we have counts for
51 papers
The Langlands formula and perverse sheaves
Mikhail Kapranov, Vadim Schechtman, Olivier Schiffmann +1
For a complex reductive Lie algebra with Cartan subalgebra and Weyl group we consider the category of per…
Cohomological Hall algebras of quivers and Yangians
Olivier Schiffmann, Eric Vasserot
We construct an isomorphism between the preprojective cohomological Hall algebra of an arbitrary quiver and a positive half of the corresponding Maulik-Okounkov Yangian, which inte…
Coherent sheaves on surfaces, COHAs and deformed -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 with pure cohomology, deriving an explicit presentation by…
Shuffle algebras for quivers as quantum groups
Andrei Neguţ, Francesco Sala, Olivier Schiffmann
We define a quantum loop group associated to an arbitrary quiver and maximal set of deformation parameters, with generators indexed by $I \times \mathbb{…
Fock space representation of the circle quantum group
Francesco Sala, Olivier Schiffmann
In [arXiv:1711.07391] we have defined quantum groups and , which can be interpreted as con…
Continuum Kac-Moody algebras
Andrea Appel, Francesco Sala, Olivier Schiffmann
We introduce a new class of infinite-dimensional Lie algebras, which we refer to as continuum Kac-Moody algebras. Their construction is closely related to that of usual Kac-Moody a…