DOAJ Open Access 2020

Maximal green sequences for arbitrary triangulations of marked surfaces (Extended Abstract)

Matthew R. Mills

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Abstrak

In general, the existence of a maximal green sequence is not mutation invariant. In this paper we show that it is in fact mutation invariant for cluster quivers associated to most marked surfaces. We develop a procedure to find maximal green sequences for cluster quivers associated to an arbitrary triangulation of closed higher genus marked surfaces with at least two punctures. As a corollary, it follows that any triangulation of a marked surface with at least one boundary component has a maximal green sequence.

Topik & Kata Kunci

Mathematics

Penulis (1)

Matthew R. Mills

Format Sitasi

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Mills, M.R. (2020). Maximal green sequences for arbitrary triangulations of marked surfaces (Extended Abstract). https://doi.org/10.46298/dmtcs.6383

Akses Cepat

Lihat di Sumber doi.org/10.46298/dmtcs.6383

Informasi Jurnal

Tahun Terbit: 2020
Sumber Database: DOAJ
DOI: 10.46298/dmtcs.6383
Akses: Open Access ✓