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Abstract:

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.

Registro:

Documento: Artículo
Título:On the E-polynomials of a family of Sln-character varieties
Autor:Mereb, M.
Filiación:Department of Mathematics, FCEyN-UBA, Ciudad Universitaria Pab 1, Buenos Aires, 1428, Argentina
Año:2015
Volumen:363
Número:3-4
Página de inicio:857
Página de fin:892
DOI: http://dx.doi.org/10.1007/s00208-015-1183-2
Título revista:Mathematische Annalen
Título revista abreviado:Math. Ann.
ISSN:00255831
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00255831_v363_n3-4_p857_Mereb

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Citas:

---------- APA ----------
(2015) . On the E-polynomials of a family of Sln-character varieties. Mathematische Annalen, 363(3-4), 857-892.
http://dx.doi.org/10.1007/s00208-015-1183-2
---------- CHICAGO ----------
Mereb, M. "On the E-polynomials of a family of Sln-character varieties" . Mathematische Annalen 363, no. 3-4 (2015) : 857-892.
http://dx.doi.org/10.1007/s00208-015-1183-2
---------- MLA ----------
Mereb, M. "On the E-polynomials of a family of Sln-character varieties" . Mathematische Annalen, vol. 363, no. 3-4, 2015, pp. 857-892.
http://dx.doi.org/10.1007/s00208-015-1183-2
---------- VANCOUVER ----------
Mereb, M. On the E-polynomials of a family of Sln-character varieties. Math. Ann. 2015;363(3-4):857-892.
http://dx.doi.org/10.1007/s00208-015-1183-2