117 citations · 626 across the 43 of their papers we have counts for
4 papers · 1 filter
An invariant supertrace for the category of representations of Lie superalgebras
Nathan Geer, Bertrand Patureau-Mirand
In this paper we give a re-normalization of the supertrace on the category of representations of Lie superalgebras of type I, by a kind of modified superdimension. The genuine supe…
On the Colored HOMFLY-PT, Multivariable and Kashaev Link Invariants
Nathan Geer, Bertrand Patureau-Mirand
We study various specializations of the colored HOMFLY-PT polynomial. These specializations are used to show that the multivariable link invariants arising from a complex family of…
Modified quantum dimensions and re-normalized link invariants
Nathan Geer, Bertrand Patureau-Mirand, Vladimir Turaev
In this paper we give a re-normalization of the Reshetikhin-Turaev quantum invariants of links, by modified quantum dimensions. In the case of simple Lie algebras these modified qu…
Compatibility of quantization functors of Lie bialgebras with duality and doubling operations
Benjamin Enriquez, Nathan Geer
We study the behavior of the Etingof-Kazhdan quantization functors under the natural duality operations of Lie bialgebras and Hopf algebras. In particular, we prove that these func…