On the Topology of Real Lagrangians in Toric Symplectic Manifolds

被引：0

作者：

Brendel, Joe ^{[1
]}

Kim, Joontae ^{[2
]}

Moon, Jiyeon ^{[3
]}

机构：

[1] Univ Neuchatel, Inst Math, Rue Emile Argand 11, CH-2000 Neuchatel, Switzerland

[2] Sogang Univ, Dept Math, 35 Baekbeom Ro, Seoul 04107, South Korea

[3] Seoul Natl Univ, Res Inst Math, 1 GwanAkRo, Seoul 08826, South Korea

来源：

ISRAEL JOURNAL OF MATHEMATICS | 2023年 / 253卷 / 01期

基金：

瑞士国家科学基金会; 新加坡国家研究基金会;

关键词：

CONVEXITY; SPHERES; POLYTOPES;

D O I：

10.1007/s11856-022-2358-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We explore the topology of real Lagrangian submanifolds in a toric symplectic manifold which come from involutive symmetries on its moment polytope. We establish a real analog of the Delzant construction for those real Lagrangians, which says that their diffeomorphism type is determined by combinatorial data. As an application, we realize all possible diffeomorphism types of connected real Lagrangians in toric symplectic del Pezzo surfaces.

引用

页码：113 / 156

页数：44

共 43 条

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