On the E-polynomials of a family of Sln-character varieties

We find the (Formula presented.)-polynomials of a family of twisted character varieties (Formula presented.) of Riemann surfaces by proving they have polynomial count, and applying a result of Katz regarding the counting functions. To count the number of (Formula presented.)-points of these varietie...

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Autor principal: Mereb, M.
Formato: JOUR
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00255831_v363_n3-4_p857_Mereb
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_00255831_v363_n3-4_p857_Mereb
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spelling todo:paper_00255831_v363_n3-4_p857_Mereb2023-10-03T14:36:18Z On the E-polynomials of a family of Sln-character varieties Mereb, M. We find the (Formula presented.)-polynomials of a family of twisted character varieties (Formula presented.) of Riemann surfaces by proving they have polynomial count, and applying a result of Katz regarding the counting functions. To count the number of (Formula presented.)-points of these varieties as a function of (Formula presented.), we invoke a formula from Frobenius. Our calculations make use of the character tables of (Formula presented.), partially computed by Lehrer, and a result of Hanlon on the Möbius function of a fixed subposet of set-partitions. We compute the Euler characteristic of the (Formula presented.) with these polynomials, and show they are connected. © 2015, Springer-Verlag Berlin Heidelberg. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00255831_v363_n3-4_p857_Mereb
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description We find the (Formula presented.)-polynomials of a family of twisted character varieties (Formula presented.) of Riemann surfaces by proving they have polynomial count, and applying a result of Katz regarding the counting functions. To count the number of (Formula presented.)-points of these varieties as a function of (Formula presented.), we invoke a formula from Frobenius. Our calculations make use of the character tables of (Formula presented.), partially computed by Lehrer, and a result of Hanlon on the Möbius function of a fixed subposet of set-partitions. We compute the Euler characteristic of the (Formula presented.) with these polynomials, and show they are connected. © 2015, Springer-Verlag Berlin Heidelberg.
format JOUR
author Mereb, M.
spellingShingle Mereb, M.
On the E-polynomials of a family of Sln-character varieties
author_facet Mereb, M.
author_sort Mereb, M.
title On the E-polynomials of a family of Sln-character varieties
title_short On the E-polynomials of a family of Sln-character varieties
title_full On the E-polynomials of a family of Sln-character varieties
title_fullStr On the E-polynomials of a family of Sln-character varieties
title_full_unstemmed On the E-polynomials of a family of Sln-character varieties
title_sort on the e-polynomials of a family of sln-character varieties
url http://hdl.handle.net/20.500.12110/paper_00255831_v363_n3-4_p857_Mereb
work_keys_str_mv AT merebm ontheepolynomialsofafamilyofslncharactervarieties
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