Computing Tropical Curves via Homotopy Continuation

Anders Nedergaard Jensen, Anton Leykin, Josephine Yu*

*Corresponding author for this work

Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal articleResearchpeer-review

Abstract

Exploiting a connection between amoebas and tropical curves, we devise a method for computing tropical curves using numerical algebraic geometry and give an implementation. As an application, we use this technique to compute Newton polygons of A-polynomials of knots.

Original languageEnglish
JournalExperimental Mathematics
Volume25
Issue1
Pages (from-to)83-93
Number of pages11
ISSN1058-6458
DOIs
Publication statusPublished - 2016

Keywords

  • tropical curves
  • homotopy continuation
  • numerical algebraic geometry
  • tropical geometry
  • SPARSE POLYNOMIAL SYSTEMS
  • ALGORITHM

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