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Título:
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E-polynomial of the SL(3,C)-character variety of free groups.
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Autores:
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Lawton, S. ;
Muñoz, Vicente
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Tipo de documento:
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texto impreso
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Editorial:
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Pacific Journal of Mathematics, 2016
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/openAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Matemáticas: Geometria algebraica
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Tipo = Artículo
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Resumen:
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We compute the E-polynomial of the character variety of representations of a rank r free group in SL(3,C). Expanding upon techniques of Logares, Muñoz and Newstead (Rev. Mat. Complut. 26:2 (2013), 635-703), we stratify the space of representations and compute the E-polynomial of each geometrically described stratum using fibrations. Consequently, we also determine the E-polynomial of its smooth, singular, and abelian loci and the corresponding Euler characteristic in each case. Along the way, we give a new proof of results of Cavazos and Lawton (Int. J. Math. 25:6 (2014), 1450058).
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En línea:
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https://eprints.ucm.es/37815/7/VMu%C3%B1oz106.pdf
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