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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. |
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Abstract
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.
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| Acknowledgements
The work of Y.-H. Suen was supported by IBS-R003-D1.
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| Author information
Yat-Hin Suen:
Center for Geometry and Physics
Institute for Basic Science (IBS)
Pohang 37673, Republic of Korea
yhsuen@ibs.re.kr
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