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Computing Tropical Curves via Homotopy Continuation

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  • Anders Nedergaard Jensen
  • Anton Leykin, Georgia Institute of Technology, Denmark
  • Josephine Yu, Georgia Institute of Technology

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
Pages (from-to)83-93
Number of pages11
Publication statusPublished - 2016

    Research areas

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

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