J. A. Arciniega-Nev'arez

activity

20222024

collaborators

3 papers

math.CO2024

Operad of posets 101: The Wixárika posets

José Antonio Arciniega-Nevárez, Marko Berghoff, Eric Rubiel Dolores-Cuenca

We study classes of objects whose combinatorics are closely related to those of posets. The framework of operads and operad algebras allows us to make this relationship precise and…

math.DG2023

Cheeger-Chern-Simons classes of representations of finite subgroups of $SL (2, C)$ and the spectrum of rational double point singularities

José Antonio Arciniega-Nevárez, José Luis Cisneros-Molina, Agustín Romano-Velázquez

Let $L$ be a compact oriented $3$ -manifold and $ρ : π_{1} (L) \to GL (n, C)$ a representation. Evaluating the Cheeger-Chern-Simons class $\widehat{c}_{ρ,k}\in H^{2k-…

math.QA2022

Virtual posets, shuffle algebras and associators

José A. Arciniega-Nevárez, Marko Berghoff, Eric Dolores-Cuenca

We provide a method to construct new associators out of Drinfel'd's KZ associator. We obtain two analytic families of associators whose coefficients we can describe explicitly by a…

Operad of posets 101: The Wixárika posets

Cheeger-Chern-Simons classes of representations of finite subgroups of SL(2,C) and the spectrum of rational double point singularities

Virtual posets, shuffle algebras and associators

Cheeger-Chern-Simons classes of representations of finite subgroups of $SL (2, C)$ and the spectrum of rational double point singularities