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RESEARCH PRODUCT
Bridges, channels and Arnold's invariants for generic plane curves
M. C. Romero FusterC. Mendes De Jesussubject
Pure mathematicsPlane curveComputationProcess (computing)InverseSumsConnected sumCombinatoricsIsotopy invariantsDecomposition (computer science)Geometry and TopologyDecompositionsStable closed curvesMathematicsdescription
Abstract We define sums of plane curves that generalize the idea of connected sum and show how Arnol'd's invariants behave with respect to them. We also consider the inverse process of decomposition of a curve and as an application, obtain a new method that reduces considerably the amounts of computation involved in the calculation of Arnold's invariants.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2002-11-01 | Topology and its Applications |