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Mathematics > Geometric Topology
Title: Algebraic intersection for hyperbolic surfaces
(Submitted on 24 Apr 2024)
Abstract: We show that the algebraic intersection form of hyperbolic surfaces of genus $g$ has a minimum in the moduli space and that the minimum grows in the order $(\log g)^{-2}$ in terms of the genus. We also describe the asymptotic behavior of the algebraic intersection form in the moduli space as the homologically systolic length goes to zero.
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