Hodge-Deligne polynomials of character varieties of free abelian groups

Autor: Carlos Florentino, Jaime A. M. Silva

Publikováno v: Repositório Científico de Acesso Aberto de Portugal
Repositório Científico de Acesso Aberto de Portugal (RCAAP)
instacron:RCAAP
Open Mathematics, Vol 19, Iss 1, Pp 338-362 (2021)

Let F F be a finite group and X X be a complex quasi-projective F F -variety. For r ∈ N r\in {\mathbb{N}} , we consider the mixed Hodge-Deligne polynomials of quotients X r / F {X}^{r}\hspace{-0.15em}\text{/}\hspace{-0.08em}F , where F F acts diago

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c0ec5cc2d8a991d2e26e9dc3156f3b14
https://doi.org/10.1515/math-2021-0038

On Hodge Polynomials of Singular Character Varieties

Autor: Carlos Florentino, Azizeh Nozad, Jaime Silva, Alfonso Zamora

Publikováno v: Trends in Mathematics ISBN: 9783030875015

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::e9c9becfe68378bbb4a81119cbb3110c
https://doi.org/10.1007/978-3-030-87502-2_11

The Value of Collaborating with Undergraduate Students on an Interdisciplinary Project

Autor: Megan Strickfaden, Jacquie Eales, Janet Fast, Carlos Florentino, Mackenzie Martin

Publikováno v: Journal of Student Research. 9

In this reflective case study, an interdisciplinary collaboration among undergraduate students in a computing science course with a team of graduate and faculty researchers at the same Canadian university will be described. The paper will then outlin

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::423ba94e8a204b541bdb6732ddb1e895
https://doi.org/10.47611/jsr.v9i1.748

Homotopy type of moduli spaces of G-Higgs bundles and reducibility of the nilpotent cone

Autor: Azizeh Nozad, Carlos Florentino, Peter B. Gothen

Publikováno v: Repositório Científico de Acesso Aberto de Portugal
Repositório Científico de Acesso Aberto de Portugal (RCAAP)
instacron:RCAAP

Let $G$ be a real reductive Lie group, and $H^{\mathbb{C}}$ the complexification of its maximal compact subgroup $H\subset G$. We consider classes of semistable $G$-Higgs bundles over a Riemann surface $X$ of genus $g\geq2$ whose underlying $H^{\math

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::506308256addd94124006ce7d4e35e7c
https://hdl.handle.net/10216/125572

Symplectic form on hyperpolygon spaces

Autor: Leonor Godinho, Alessia Mandini, Indranil Biswas, Carlos Florentino

Publikováno v: Geometriae Dedicata. 179:187-195

In [GM], a family of parabolic Higgs bundles on $CP^1$ has been constructed and identified with a moduli space of hyperpolygons. Our aim here is to give a canonical alternative construction of this family. This enables us to compute the Higgs symplec

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::462415663fc9ed7ec007aa1df45185ab
https://doi.org/10.1007/s10711-015-0075-7