Non-kissing versus non-crossing

Yann Palu; Vincent Pilaud; Pierre Guy Plamondon

Non-kissing versus non-crossing

Yann Palu, Vincent Pilaud, Pierre Guy Plamondon

Research output: Contribution to conference › Paper › peer-review

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.

Original language	English
Publication status	Published - 1 Jan 2019
Event	31st International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2019 - Ljubljana, Slovenia Duration: 1 Jul 2019 → 5 Jul 2019

Conference

Conference	31st International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2019
Country/Territory	Slovenia
City	Ljubljana
Period	1/07/19 → 5/07/19

Keywords

Gentle algebras
Non-crossing complex
Non-kissing complex

Cite this

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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

Abstract

Conference

Keywords

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Cite this