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The dense region in scattering diagrams

Research output: Contribution to journal › Article › Research › peer review

Authors

  • Tim Gräfnitz
  • Patrick Luo

Research Organisations

External Research Organisations

  • University of Cambridge

Details

Original languageEnglish
Number of pages13
JournalBulletin of the Australian Mathematical Society
Early online date10 Feb 2025
Publication statusE-pub ahead of print - 10 Feb 2025

Abstract

We use deformations and mutations of scattering diagrams to show that a scattering diagram with initial functions f1 = (1 + tx)μ and f2 = (1 + ty)ν has a dense region. This answers a question asked by Gross and Pandharipande [‘Quivers, curves, and the tropical vertex’, Port. Math. 67(2) (2010), 211-259] which had been proved only for the case μ = ν.

Keywords

    cluster algebra, mirror symmetry, quiver representation, scattering diagram

ASJC Scopus subject areas

Cite this

The dense region in scattering diagrams. / Gräfnitz, Tim; Luo, Patrick.
In: Bulletin of the Australian Mathematical Society, 10.02.2025.

Research output: Contribution to journal › Article › Research › peer review

Gräfnitz T, Luo P. The dense region in scattering diagrams. Bulletin of the Australian Mathematical Society. 2025 Feb 10. Epub 2025 Feb 10. doi: 10.1017/S000497272400128X
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