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On the Tropical Discs Counting on Elliptic K3 Surfaces with General Singular Fibres (1710.10625v2)
Published 29 Oct 2017 in math.SG and math.AG
Abstract: Using Lagrangian Floer theory, we study the tropical geometry of K3 surfaces with general singular fibres. In particular, we give the local models for the type $I_n$, $II$, $III$ and $IV$ singular fibres in the Kodaira's classification and generalize the correspondence theorem between open Gromov-Witten invariants/tropical discs counting to these cases.
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