Crosscap number and knot projections
Sign Up to like & getrecommendations! Published in 2018 at "International Journal of Mathematics"
DOI: 10.1142/s0129167x18500842
Abstract: We introduce an unknotting-type number of knot projections that gives an upper bound of the crosscap number of knots. We determine the set of knot projections with the unknotting-type number at most two, and this… read more here.
Keywords: knot projections; crosscap number; number; number knot ... See more keywords
Crosscap number of knots and volume bounds
Sign Up to like & getrecommendations! Published in 2020 at "International Journal of Mathematics"
DOI: 10.1142/s0129167x20501116
Abstract: In this paper, we obtain the crosscap number of any alternating knots by using our recently-introduced diagrammatic knot invariant (Theorem 1). The proof is given by properties of chord diagrams (K... read more here.
Keywords: number; number knots; crosscap number; knots volume ... See more keywords