Maximal Green Sequences of Exceptional Finite Mutation Type Quivers
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Maximal Green Sequences of Exceptional Finite Mutation Type Quivers
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| Creator |
Seven, A.I.
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| Description |
Maximal green sequences are particular sequences of mutations of quivers which were introduced by Keller in the context of quantum dilogarithm identities and independently by Cecotti-Córdova-Vafa in the context of supersymmetric gauge theory. The existence of maximal green sequences for exceptional finite mutation type quivers has been shown by Alim-Cecotti-Córdova-Espahbodi-Rastogi-Vafa except for the quiver X₇. In this paper we show that the quiver X₇ does not have any maximal green sequences. We also generalize the idea of the proof to give sufficient conditions for the non-existence of maximal green sequences for an arbitrary quiver.
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| Date |
2019-02-10T10:00:29Z
2019-02-10T10:00:29Z 2014 |
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| Type |
Article
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| Identifier |
Maximal Green Sequences of Exceptional Finite Mutation Type Quivers / A.I. Seven // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 11 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 15B36; 05C50 DOI:10.3842/SIGMA.2014.089 http://dspace.nbuv.gov.ua/handle/123456789/146610 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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