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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Publicado: 2015
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00255831_v363_n3-4_p857_Mereb
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 paper:paper_00255831_v363_n3-4_p857_Mereb
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spelling paper:paper_00255831_v363_n3-4_p857_Mereb2023-06-08T14:53:19Z 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 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. 2015 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00255831_v363_n3-4_p857_Mereb 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.
title On the E-polynomials of a family of Sln-character varieties
spellingShingle 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
publishDate 2015
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00255831_v363_n3-4_p857_Mereb
http://hdl.handle.net/20.500.12110/paper_00255831_v363_n3-4_p857_Mereb
_version_ 1768543121258315776

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