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math.GT2025
The Geometric P=W conjecture and Thurston's compactification
Ashwin Ayilliath-Kutteri, Mohammad Farajzadeh-Tehrani, Charles Frohman
In this paper, we use new results together with established facts about Thurston's compactification of Teichmüller space to address the geometric P=W conjecture for $\mathrm{SL}(2,…
math.GT2024
The Kauffman Bracket Skein Module at an irreducible representation
Mohammad Farajzadeh-Tehrani, Charles Frohman, Joanna Kania-Bartoszynska
In this paper, we study the Kauffman bracket skein module of closed oriented three-manifolds at a non-multiple-of-four roots of unity. Our main result establishes that the localiza…