New York Journal of Mathematics
Volume 27 (2021), 1096-1114


Yat-Hin Suen

Reconstruction of holomoprhic tangent bundle of complex projective plane via tropical Lagrangian multi-section

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Published: July 24, 2021.
Keywords: Algebraic geometry, symplectic geometry, tropical geometry, mirror symmetry.
Subject: 14J33, 53D37, 53-11.

In this paper, we study the reconstruction problem of the holomorphic tangent bundle of the complex projective plane. We introduce the notion of tropical Lagrangian multi-section and cook up one tropicalizing the Chern connection associated the Fubini-Study metric. Then we perform the reconstruction of the tangent bundle from this tropical Lagrangian multi-section. Walling-crossing phenomenon will occur in the reconstruction process.


The work of Y.-H. Suen was supported by IBS-R003-D1.

Author information

Yat-Hin Suen:
Center for Geometry and Physics
Institute for Basic Science (IBS)
Pohang 37673, Republic of Korea