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Advisor(s)
Abstract(s)
Let Hom0(Ƭ, G) be the connected component of the identity of the variety of representations of a finitely generated nilpotent group into a connected reductive complex affine algebraic group G. We determine the mixed Hodge structure on the representation variety Hom0(Ƭ, G) and on the character variety Hom0(Ƭ, G)//G. We obtain explicit formulae (both closed and recursive) for the mixed Hodge polynomial of these representation and character varieties.
Description
Keywords
character variety mixed Hodge structures nilpotent group Hodge polynomial
Citation
Florentino C, Lawton S, Silva J. Mixed Hodge structures on character varieties of nilpotent groups. Revista Matemática Complutense. 2024; 9. https://doi.org/10.1007/s13163-024-00490-9
Publisher
Springer