Articles with "character variety" as a keyword



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The $${\textit{SU}}(2)$$SU(2)-character variety of the closed surface of genus 2

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Published in 2018 at "Geometriae Dedicata"

DOI: 10.1007/s10711-017-0296-z

Abstract: We study the symplectic geometry of the $${\text {SU}}(2)$$SU(2)-representation variety of the compact oriented surface of genus 2. We use the Goldman flows to identify subsets of the moduli space with corresponding subsets of $${\mathbb… read more here.

Keywords: variety; character variety; surface genus; textit character ... See more keywords
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Character Varieties and Algebraic Surfaces for the Topology of Quantum Computing

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Published in 2022 at "Symmetry"

DOI: 10.20944/preprints202204.0126.v1

Abstract: It is shown that the representation theory of some finitely presented groups thanks to their SL2(C) character variety is related to algebraic surfaces. We make use of the Enriques–Kodaira classification of algebraic surfaces and related… read more here.

Keywords: topology; character varieties; character variety; character ... See more keywords