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A testbed for a Voronoi diagram approach to monodromy and homology.

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voronoi

A testbed for a Voronoi diagram approach to monodromy and homology.

Idea: compute the Voronoi diagram on the branch point structure of a plane algebraic curve. Using these data we can efficiently compute the monodromy group of the curve and, from there, a basis for the first homology group. This approach allows one to maximally re-use analtyic continuation information.

Testing

To run tests:

$ sage runtests.py

To run tests with pdb (for interactive error debugging):

$ sage -sh
(sage-sh) $ nosetests --pdb

Authors

  • Nils Bruin
  • Sasha Zotine (@szotine)
  • Chris Swierczewski (@cswiercz)

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A testbed for a Voronoi diagram approach to monodromy and homology.

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