Character varieties of a transitioning coxeter 4-orbifold

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SUMMARY

The orbifold fundamental group of O is a rank-22 right-angled Coxeter group €22, which embeds in Isom.H4 / as a discrete reflection group 2020 Mathematics Subject Classification. The analysis will also show that, when G is Isom.H4 / or Isom.AdS4 /, the character variety X.€22; G/ is homeomorphic to the GIT quotient Hom.€22; G/==G C near each Œ t  (see Remark 4.6). The reflection group €22 and amp;lt; Isom.H4 / associated to P1 is thus a right-angled Coxeter group obtained by removing from the reflection group €24 . . .

 



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