swMATH ID: 25569
Software Authors: Brake, Danielle A.; Hauenstein, Jonathan D.; Regan, Margaret H.
Description: Polytop: software for computing topology of smooth real surfaces. 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 smooth real surface. Several examples are used to demonstrate this new software.
Homepage: https://link.springer.com/chapter/10.1007%2F978-3-319-96418-8_47
Keywords: numerical algebraic geometry; topology; cell decomposition; graphs; Euler characteristic; Betti numbers; fundamental group
Related Software: Bertini_real; javaPlex; Bertini; 3BA; ATAME; Axl; Francy; DiscreteZOO; libtropicon; Theoryguru; IntegerSequences; HomotopyContinuation; Orbiter; Paramotopy; SageMath; Macaulay2
Cited in: 2 Publications

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