Name
Abstract | ||
|---|---|---|
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. |
Year | DOI | Venue |
|---|---|---|
2018 | 10.1007/978-3-319-96418-8_47 | Lecture Notes in Computer Science |
Keywords | Field | DocType |
Numerical algebraic geometry,Topology,Cell decomposition,Graphs,Euler characteristic,Betti numbers,Fundamental group | Topology,Betti number,Computational problem,Computer science,System of polynomial equations,Numerical algebraic geometry,Euler characteristic,Fundamental group,Software,Computation | Conference |
Volume | ISSN | Citations |
10931 | 0302-9743 | 0 |
PageRank | References | Authors |
0.34 | 10 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Danielle A. Brake | 1 | 0 | 0.68 |
| Jonathan D. Hauenstein | 2 | 269 | 37.65 |
| Margaret H. Regan | 3 | 2 | 2.39 |