Arnold-type Invariants of Curves on Surfaces

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dc.creatorTchernov, Vladimir
dc.date1999-06-18
dc.date.accessioned2026-07-07T05:29:34Z
dc.date.available2026-07-07T05:29:34Z
dc.descriptionRecently 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.
dc.description25 pages, 11 figures
dc.identifierhttps://arxiv.org/abs/math/9906125
dc.identifierhttp://arxiv.org/abs/math/9906125
dc.identifierJ. Knot Theory Ramifications 8 (1999), no. 1, pp. 71-97
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78686
dc.subjectGeometric Topology
dc.subjectDifferential Geometry
dc.subject57M99, 57R42 (Primary) 57C42 (Secondary)
dc.titleArnold-type Invariants of Curves on Surfaces
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