Polytop 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 Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year polyTop: software for computing topology of smooth real surfaces. Zbl 1396.14002Brake, Danielle A.; Hauenstein, Jonathan D.; Regan, Margaret H. 2018 all top 5 Cited by 7 Authors 1 Brake, Danielle A. 1 Davenport, James Harold 1 Hauenstein, Jonathan D. 1 Kauers, Manuel 1 Labahn, George 1 Regan, Margaret H. 1 Urban, Josef Cited in 1 Serial 1 Lecture Notes in Computer Science Cited in 4 Fields 1 General and overarching topics; collections (00-XX) 1 Algebraic geometry (14-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) Citations by Year