Constructions of Morse maps for knots and links, and upper bounds on the Morse-Novikov number

Simple item page
dc.creatorHirasawa, Mikami
dc.creatorRudolph, Lee
dc.date2003-11-09
dc.date.accessioned2026-07-07T05:02:45Z
dc.date.available2026-07-07T05:02:45Z
dc.descriptionThe Morse-Novikov number MN(L) of an oriented link L in the 3-sphere is the minimum number of critical points of a Morse map from the complement of L in the 3-sphere to the circle representing the class of a Seifert surface for L (e.g., the Morse-Novikov number of L is zero if and only if L is fibered). We develop various constructions of Morse maps (Milnor maps, Stallings twists, splicing along a link which is a closed braid with respect to a Morse map, Murasugi sums, cutting a Morse map along an arc on a page) and use them to bound Morse-Novikov numbers from above in terms of other knot and link invariants (free genus, crossing number, braid index, wrapping genus and layered wrapping genus).
dc.description23 figures; supercedes, and considerably extends, mathGT/0108006
dc.identifierhttps://arxiv.org/abs/math/0311134
dc.identifierhttp://arxiv.org/abs/math/0311134
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69131
dc.subjectGeometric Topology
dc.subject57M25
dc.titleConstructions of Morse maps for knots and links, and upper bounds on the Morse-Novikov number
dc.typetext

Files

Collections

arXiv