On compactifications of the 𝑆𝐿(2,ℂ) character varieties of punctured surfaces
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DOI: 10.1090/tran/9564
Abstract: This paper addresses some conjectures and questions regarding the absolute and relative compactifications of the S L ( 2 , C ) SL(2,\mathbb {C}) -character variety of an n n -punctured Riemann surface without boundary.… read more here.
Keywords: character varieties; punctured surfaces; compactifications character; varieties punctured ... See more keywords
Punctured Surfaces, Quiver Mutations, and Quotients of Coxeter Groups
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DOI: 10.1093/imrn/rnaf320
Abstract: In [1], Barot and Marsh provided an explicit construction of presentation of a finite Weyl group $W$ by any quiver mutation-equivalent to an orientation of a Dynkin diagram with Weyl group $W$. The construction was… read more here.
Keywords: punctured surfaces; coxeter groups; mutations quotients; quotients coxeter ... See more keywords