Toric degenerations of Gr(2; n) and Gr(3; 6) via plabic graphs

Lara Bossinger; Xin  Fang; Ghislain  Fourier; Milena Hering; Martina Lanini

Toric degenerations of Gr(2; n) and Gr(3; 6) via plabic graphs

Lara Bossinger, Xin Fang, Ghislain Fourier, Milena Hering, Martina Lanini

School of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We establish an explicit bijection between the toric degenerations of the Grassmannian Gr(2,n) arising from maximal cones in tropical Grassmannians and the ones coming from plabic graphs corresponding to Gr(2,n). We show that a similar statement does not hold for Gr(3,6).

Original language	English
Number of pages	23
Journal	Annals of Combinatorics
Publication status	Accepted/In press - 3 Jan 2022

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tree_and_plabic_07032018Accepted author manuscript, 433 KB

https://arxiv.org/abs/1612.03838

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title = "Toric degenerations of Gr(2; n) and Gr(3; 6) via plabic graphs",

abstract = "We establish an explicit bijection between the toric degenerations of the Grassmannian Gr(2,n) arising from maximal cones in tropical Grassmannians and the ones coming from plabic graphs corresponding to Gr(2,n). We show that a similar statement does not hold for Gr(3,6).",

author = "Lara Bossinger and Xin Fang and Ghislain Fourier and Milena Hering and Martina Lanini",

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language = "English",

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T1 - Toric degenerations of Gr(2; n) and Gr(3; 6) via plabic graphs

AU - Bossinger, Lara

AU - Fang, Xin

AU - Fourier, Ghislain

AU - Hering, Milena

AU - Lanini, Martina

PY - 2022/1/3

Y1 - 2022/1/3

N2 - We establish an explicit bijection between the toric degenerations of the Grassmannian Gr(2,n) arising from maximal cones in tropical Grassmannians and the ones coming from plabic graphs corresponding to Gr(2,n). We show that a similar statement does not hold for Gr(3,6).

AB - We establish an explicit bijection between the toric degenerations of the Grassmannian Gr(2,n) arising from maximal cones in tropical Grassmannians and the ones coming from plabic graphs corresponding to Gr(2,n). We show that a similar statement does not hold for Gr(3,6).

M3 - Article

JO - Annals of Combinatorics

JF - Annals of Combinatorics

SN - 0218-0006

ER -

Toric degenerations of Gr(2; n) and Gr(3; 6) via plabic graphs

Abstract

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