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We approximate intersection numbers [formula presented] on Deligne–Mumford’s moduli space Mg,n of genus g stable complex curves with n marked points by certain closed-form expressions in d1, …, dn. Conjecturally, these approximations become asymptotically exact uniformly in di when g → ∞ and n remains bounded or grows slowly. In this note we prove a lower bound for the intersection numbers in terms of the above-mentioned approx-imating expressions multiplied by an explicit factor λ(g, n), which tends to 1 when g → ∞ and d1 + · · · + dn−2 = o(g).
Original language | English |
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Article number | 086 |
Journal | Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) |
Volume | 16 |
DOIs | |
State | Published - 2020 |
ID: 98426195