کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4658576 1633104 2014 27 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Topology of character varieties of Abelian groups
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات هندسه و توپولوژی
پیش نمایش صفحه اول مقاله
Topology of character varieties of Abelian groups
چکیده انگلیسی

Let G be a complex reductive algebraic group (not necessarily connected), let K be a maximal compact subgroup, and let Γ   be a finitely generated Abelian group. We prove that the conjugation orbit space Hom(Γ,K)/KHom(Γ,K)/K is a strong deformation retract of the GIT quotient space Hom(Γ,G)⫽GHom(Γ,G)⫽G. Moreover, this result remains true when G   is replaced by its locus of real points. As a corollary, we determine necessary and sufficient conditions for the character variety Hom(Γ,G)⫽GHom(Γ,G)⫽G to be irreducible when G is connected and semisimple. For a general connected reductive G, analogous conditions are found to be sufficient for irreducibility, when Γ is free Abelian.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 173, 15 August 2014, Pages 32–58
نویسندگان
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