Non-kissing versus non-crossing

Yann Palu; Vincent Pilaud; Pierre Guy Plamondon

Non-kissing versus non-crossing

Yann Palu
, Vincent Pilaud
, Pierre Guy Plamondon

Université de Picardie Jules Verne
Université Paris-Sud
Laboratoire de Mathématiques d'Orsay

Résultats de recherche: Contribution à une conférence › Papier › Revue par des pairs

1 Citation (Scopus)

Résumé

Starting from a locally gentle bound quiver, we define on the one hand a simplicial complex, called the non-kissing complex. On the other hand, we construct a punctured, marked, oriented surface with boundary, endowed with a pair of dual dissections. From those geometric data, we define two simplicial complexes: the accordion complex, and the slalom complex, generalizing work of A. Garver and T. McConville in the case of a disk. We show that all three complexes are isomorphic.

langue originale	Anglais
état	Publié - 1 janv. 2019
Evénement	31st International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2019 - Ljubljana, Slovénie Durée: 1 juil. 2019 → 5 juil. 2019

Une conférence

Une conférence	31st International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2019
Pays/Territoire	Slovénie
La ville	Ljubljana
période	1/07/19 → 5/07/19

Contient cette citation

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title = "Non-kissing versus non-crossing",

abstract = "Starting from a locally gentle bound quiver, we define on the one hand a simplicial complex, called the non-kissing complex. On the other hand, we construct a punctured, marked, oriented surface with boundary, endowed with a pair of dual dissections. From those geometric data, we define two simplicial complexes: the accordion complex, and the slalom complex, generalizing work of A. Garver and T. McConville in the case of a disk. We show that all three complexes are isomorphic.",

keywords = "Gentle algebras, Non-crossing complex, Non-kissing complex",

author = "Yann Palu and Vincent Pilaud and Plamondon, \{Pierre Guy\}",

note = "Publisher Copyright: {\textcopyright} FPSAC 2019 - 31st International Conference on Formal Power Series and Algebraic Combinatorics. All rights reserved.; 31st International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2019 ; Conference date: 01-07-2019 Through 05-07-2019",

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TY - CONF

T1 - Non-kissing versus non-crossing

AU - Palu, Yann

AU - Pilaud, Vincent

AU - Plamondon, Pierre Guy

PY - 2019/1/1

Y1 - 2019/1/1

N2 - Starting from a locally gentle bound quiver, we define on the one hand a simplicial complex, called the non-kissing complex. On the other hand, we construct a punctured, marked, oriented surface with boundary, endowed with a pair of dual dissections. From those geometric data, we define two simplicial complexes: the accordion complex, and the slalom complex, generalizing work of A. Garver and T. McConville in the case of a disk. We show that all three complexes are isomorphic.

AB - Starting from a locally gentle bound quiver, we define on the one hand a simplicial complex, called the non-kissing complex. On the other hand, we construct a punctured, marked, oriented surface with boundary, endowed with a pair of dual dissections. From those geometric data, we define two simplicial complexes: the accordion complex, and the slalom complex, generalizing work of A. Garver and T. McConville in the case of a disk. We show that all three complexes are isomorphic.

KW - Gentle algebras

KW - Non-crossing complex

KW - Non-kissing complex

M3 - Paper

AN - SCOPUS:85087909711

T2 - 31st International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2019

Y2 - 1 July 2019 through 5 July 2019

ER -

Non-kissing versus non-crossing

Résumé

Une conférence

Empreinte digitale

Contient cette citation