The Morse–Novikov number of knots under connected sum and cabling
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DOI: 10.1112/topo.12210
Abstract: We show the Morse-Novikov number of knots in $S^3$ is additive under connected sum and unchanged by cabling. read more here.
Keywords: number knots; morse novikov; novikov number; knots connected ... See more keywords
Crosscap number of knots and volume bounds
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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