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Open Gromov-Witten Invariants on Elliptic K3 Surfaces and Wall-Crossing

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 نشر من قبل Yu-Shen Lin
 تاريخ النشر 2014
  مجال البحث
والبحث باللغة English
 تأليف Yu-Shen Lin




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In this paper, we study holomorphic discs in K3 surfaces and defined the open Gromov-Witten invariants. Using this new invariant, we can establish a version of correspondence between tropical discs and holomorphic discs with non-trivial invariants. We give an example of wall-crossing phenomenon of the invariant and expect it satisfies Kontsevich-Soibelman wall-crossing formula.

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