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기하학수리물리연구단
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TROPICAL LAGRANGIAN MULTISECTIONS AND TORIC VECTOR BUNDLES

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Title
TROPICAL LAGRANGIAN MULTISECTIONS AND TORIC VECTOR BUNDLES
Author(s)
Yat-Hin Suen
Publication Date
2023-08
Journal
Pacific Journal of Mathematics, v.325, no.2, pp.299 - 330
Publisher
Mathematical Sciences Publishers
Abstract
We introduce the notion of tropical Lagrangian multisections over a fan and study its relation with toric vector bundles. We also introduce a “SYZ-type” construction for toric vector bundles which gives a reinterpretation of Kaneyama’s linear algebra data. In dimension 2, this “mirror-symmetric” approach provides us a pure combinatorial condition for checking which rank 2 tropical Lagrangian multisections arise from toric vector bundles. © 2023 Mathematical Sciences Publishers
URI
https://pr.ibs.re.kr/handle/8788114/14491
DOI
10.2140/pjm.2023.325.299
ISSN
0030-8730
Appears in Collections:
Center for Geometry and Physics(기하학 수리물리 연구단) > 1. Journal Papers (저널논문)
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