The deformation spaces of geodesic triangulations of flat tori

被引：0

作者：

Luo, Yanwen ^{[1
]}

Wu, Tianqi ^{[2
]}

Zhu, Xiaoping ^{[1
]}

机构：

[1] Rutgers State Univ, Dept Math, New Brunswick, NJ 08901 USA

[2] Harvard Univ, Ctr Math Sci & Applicat, Cambridge, MA USA

来源：

ALGEBRAIC AND GEOMETRIC TOPOLOGY | 2024年 / 24卷 / 07期

关键词：

D O I：

10.2140/agt.2024.24.3605

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that the deformation space of geodesic triangulations of a flat torus is homotopically equivalent to a torus. This solves an open problem proposed by Connelly et al. in 1983 in the case of flat tori. A key tool of the proof is a generalization of Tutte's embedding theorem for flat tori. While this paper was under preparation, Erickson and Lin proved a similar result, which works for all convex drawings.

引用

页数：19

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