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Computing Tropical Curves via Homotopy Continuation

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  • Anders Nedergaard Jensen
  • Anton Leykin, Georgia Institute of Technology, Danmark
  • 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.

OriginalsprogEngelsk
TidsskriftExperimental Mathematics
Vol/bind25
Nummer1
Sider (fra-til)83-93
Antal sider11
ISSN1058-6458
DOI
StatusUdgivet - 2016

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