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.
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References in zbMATH (referenced in 2 articles , 1 standard article )
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- Brake, Danielle A.; Hauenstein, Jonathan D.; Regan, Margaret H.: polyTop: software for computing topology of smooth real surfaces (2018)
- Davenport, James H. (ed.); Kauers, Manuel (ed.); Labahn, George (ed.); Urban, Josef (ed.): Mathematical software -- ICMS 2018. 6th international conference, South Bend, IN, USA, July 24--27, 2018. Proceedings (2018)