An explicit formula for a Bennequin-type invariant for apparent contours

Maurizio Paolini, Giovanni Bellettini, Valentina Beorchia

Risultato della ricerca: Contributo in rivistaArticolo in rivistapeer review

1 Citazioni (Scopus)


We derive an explicit formula for the computation of a Vassiliev-type invariant of an apparent contour introduced recently by Ohmoto and Aicardi using appropriate linking numbers of its Legendrian lift. Our formula does not require the construction of the Legendrian lift and only takes into account the nodes, the cusps, the extremal points and the orientation of the apparent contour. In this way the computation can be implemented into a computer program; we demonstrate its use with some examples.
Lingua originaleEnglish
pagine (da-a)747-760
Numero di pagine14
RivistaTopology and its Applications
Stato di pubblicazionePubblicato - 2009


  • apparent contours
  • vassiliev invariants


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