51 citations · 52 across the 3 of their papers we have counts for
5 papers
Plethystic exponential calculus and characteristic polynomials of permutations
Carlos A. A. Florentino
We prove a family of identities, expressing generating functions of powers of characteristic polynomials of permutations, as finite or infinite products. These generalize formulae…
On Hodge polynomials of Singular Character Varieties
Carlos Florentino, Azizeh Nozad, Jaime Silva +1
Let be the -character variety of , where is a complex reductive group and a finitely presented group. We introduce new techni…
Daniel Augusto da Silva, Poet of Mathematics
Carlos A. A. Florentino
Daniel da Silva was a remarkable Scientist and Mathematician of the mid 19th century. Working in Portugal, isolated from the main scientific centres of the time, his investigations…
Higgs bundles and representation spaces associated to morphisms
Indranil Biswas, Carlos Florentino
Let be a connected reductive affine algebraic group defined over the complex numbers, and be a maximal compact subgroup. Let be irreducible smooth complex…
The topology of moduli spaces of free group representations
Carlos Florentino, Sean Lawton
For any complex affine reductive group G and a fixed choice of maximal compact subgroup K, we show that the G-character variety of a free group strongly deformation retracts to the…