Software for computing topology of smooth real surfaces

Dataset

Description

A common computational problem is to compute topological information about a real surface defined by a system of polynomial equations. Our software, called polyTop, leverages numerical algebraic geometry computations from Bertini and Bertini_real with topological computations in javaPlex to compute the Euler characteristic, genus, Betti numbers, and generators of the fundamental group of a real surface. Several examples are used to demonstrate this new software.

Attributes

Attribute NameValues
Creator
  • Margaret Regan

  • Jonathan Hauenstein

Publisher
  • Jonathan Hauenstein

Departments and Units
Record Visibility and Access Public
Content License
  • All rights reserved

Digital Object Identifier

doi:10.7274/R0PV6HF4

This DOI is the best way to cite this dataset.


Files

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