Arnold-type Invariants of Curves on Surfaces
| Autor: | Vladimir Tchernov |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 1999 |
| Předmět: |
Discrete mathematics
Mathematics - Differential Geometry Mathematics - Geometric Topology 57M99 57R42 (Primary) 57C42 (Secondary) Algebra and Number Theory Differential geometry Differential Geometry (math.DG) Immersion (mathematics) FOS: Mathematics Geometric Topology (math.GT) Strangeness Axiom Mathematics |
| Popis: | Recently V. Arnold introduced Strangeness and $J^{\pm}$ invariants of generic immersions of an oriented circle to $\R^2$. Here these invariants are generalized to the case of generic immersions of an oriented circle to an arbitrary surface $F$. We explicitly describe all the invariants satisfying axioms, which naturally generalize the axioms used by V. Arnold. 25 pages, 11 figures |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|