Encomplexing the writhe

dc.creatorViro, Oleg
dc.date2000-05-16
dc.date.accessioned2026-07-25T22:46:11Z
dc.descriptionA detailed version of preprint "Self-linking number of a real algebraic link" by the same author, alg-geom/9410030. For a nonsingular real algebraic curve in 3-dimensional projective space or 3-sphere, a new integer-valued characteristic is introduced. It is invariant under rigid isotopy and multiplied by -1 under mirror reflections. In a sense, it is a Vassiliev invariant of degree 1 and a counterpart of a link diagram writhe. For a regular complete intersection this invariant vanishes, while for rational knots of degree d it takes all the values between -(d-1)(d-2)/2 and (d-1)(d-2)/2.
dc.description17 pages, 4 figures, will appear in the Rokhlin memorial AMS volume
dc.identifierhttps://arxiv.org/abs/math/0005162
dc.identifierhttp://arxiv.org/abs/math/0005162
dc.identifier.urihttps://dspace.dare.co.zw/handle/123456789/92315
dc.subjectAlgebraic Geometry
dc.subjectGeometric Topology
dc.subject14P25, 57M25, 14H99
dc.titleEncomplexing the writhe
dc.typetext

Files

Collections