An Alexander-type invariant for doodles

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dc.contributor.authorBruno Cisneros
dc.contributor.authorMarcelo Flores
dc.contributor.authorJesús Juyumaya
dc.contributor.authorChristopher Roque-Márquez
dc.coverage.spatialBolivia
dc.date.accessioned2026-03-22T14:21:48Z
dc.date.available2026-03-22T14:21:48Z
dc.date.issued2022
dc.descriptionCitaciones: 9
dc.description.abstractWe construct an Alexander-type invariant for oriented doodles from a deformation of the Tits representation of the twin group and from the Chebyshev polynomials of the second kind. Like the Alexander polynomial, our invariant vanishes on unlinked doodles with more than one component. We also include values of our invariant on several doodles.
dc.identifier.doi10.1142/s0218216522500900
dc.identifier.urihttps://doi.org/10.1142/s0218216522500900
dc.identifier.urihttps://andeanlibrary.org/handle/123456789/46073
dc.language.isoen
dc.publisherWorld Scientific
dc.relation.ispartofJournal of Knot Theory and Its Ramifications
dc.sourceUniversity of Valparaíso
dc.subjectMathematics
dc.subjectInvariant (physics)
dc.subjectAlexander polynomial
dc.subjectFinite type invariant
dc.subjectPure mathematics
dc.subjectInvariant polynomial
dc.subjectChebyshev filter
dc.subjectAlgebra over a field
dc.subjectCombinatorics
dc.titleAn Alexander-type invariant for doodles
dc.typearticle

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