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math.GT2025
Representation varieties of RAAGs
Allen Bao, Anunoy Chakraborty, David L. Duncan +2
We investigate the -representation varieties of right-angled Artin groups (RAAGs) for various Lie groups . We show these varieties are connected for a large class of such …
math.GT2025
Representation varieties and genus-three Torelli maps
Allen Bao, Anunoy Chakraborty, David L. Duncan +2
We consider the family of Torelli homeomorphisms on a genus-three surface given by powers of a fixed bounding pair map. For each such homeomorphism we determine the number of…