14 citations · 23 across the 8 of their papers we have counts for
7 papers · 1 filter
Categorification of infinite-dimensional -modules and braid group 2-actions I: tensor products
Benjamin Dupont, Grégoire Naisse
This is the first part of a series of two papers aiming to construct a categorification of the braiding on tensor products of Verma modules, and in particular of the Lawrence--Kram…
Tensor product categorifications, Verma modules and the blob 2-category
Abel Lacabanne, Grégoire Naisse, Pedro Vaz
We construct a dg-enhancement of KLRW algebras that categorifies the tensor product of a universal Verma module and several integrable irreducible modules. When t…
Odd Khovanov homology for tangles
Grégoire Naisse, Krzysztof Putyra
We extend the covering of even and odd Khovanov link homology to tangles, using arc algebras. For this, we develop the theory of quasi-associative algebras and bimodules graded ove…
Real Springer fibers and odd arc algebras
Jens Niklas Eberhardt, Grégoire Naisse, Arik Wilbert
We give a topological description of the two-row Springer fiber over the real numbers. We show its cohomology ring coincides with the oddification of the cohomology ring of the com…
2-Verma modules and the Khovanov-Rozansky link homologies
Grégoire Naisse, Pedro Vaz
We explain how Queffelec-Sartori's construction of the HOMFLY-PT link polynomial can be interpreted in terms of parabolic Verma modules for . Lifting the constr…
Odd Khovanov's arc algebra
Grégoire Naisse, Pedro Vaz
We construct an odd version of Khovanov's arc algebra . Extending the center to elements that anticommute, we get a subalgebra that is isomorphic to the oddification of the co…
An oddification of Khovanov's arc algebras
Grégoire Naisse
In this master thesis we construct an oddification of the rings from arXiv:math/0103190 using the functor from arXiv:0710.4300 . This leads to a collection of non-associative…