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A τ-tilting approach to dissections of polygons

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journal contribution
posted on 2019-05-17, 08:50 authored by Vincent Pilaud, Pierre-Guy Plamondon, Salvatore Stella
We show that any accordion complex associated to a dissection of a convex polygon is isomorphic to the support τ-tilting simplicial complex of an explicit finite dimensional algebra. To this end, we prove a property of some induced subcomplexes of support τ-tilting simplicial complexes of finite dimensional algebras.

Funding

The first two authors are partially supported by the French ANR grant SC3A (15 CE40 0004 01). The last author is supported by the ISF grant 1144/16.

History

Citation

Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 2018, 14

Author affiliation

/Organisation/COLLEGE OF SCIENCE AND ENGINEERING/Department of Mathematics

Version

  • AM (Accepted Manuscript)

Published in

Symmetry

Publisher

National Academy of Science of Ukraine

eissn

1815-0659

Acceptance date

2018-05-10

Copyright date

2018

Available date

2019-05-17

Publisher version

https://www.emis.de/journals/SIGMA/2018/045/

Language

en

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