Authors supply an estimate for fixed points of pseudo-Anosov maps and prove that, under strong irreducibility, log of the count is coarsely the Teichmuller length, plus volume-homology inequalities for mapping tori.
Leininger, and Witsarut Pho-On,A universal Cannon-Thurston map and the surviving curve complex, Trans
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On fixed points of pseudo-Anosov maps
Authors supply an estimate for fixed points of pseudo-Anosov maps and prove that, under strong irreducibility, log of the count is coarsely the Teichmuller length, plus volume-homology inequalities for mapping tori.