Genus is superadditive under band connected sum

DOI10.1016/0040-9383(87)90061-9zbMath0621.57004OpenAlexW2001284687MaRDI QIDQ1089961

David Gabai

Publication date: 1987

Published in: Topology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0040-9383(87)90061-9

zbMATH Keywords

genus of a knotband connected sumsuperadditivity of the genus

Mathematics Subject Classification ID

Related Items

BAND SURGERY ON KNOTS AND LINKS, II, Genera, band sum of knots and Vassiliev invariants, A note on genera of band sums that are fibered, Tight fibered knots and band sums, The cosmetic crossing conjecture for split links, Dehn surgery and nonseparating two-spheres, Comparing 2-handle additions to a genus 2 boundary component, Some applications of Tristram-Levine signatures and relation to Vassiliev invariants, When is a band-connected sum equal to the connected sum?, Dehn fillings that reduce Thurston norm, Bands, tangles and linear skein theory, Unknotting number, genus and companion tori, Knots and 4-manifolds, Knot Floer homology obstructs ribbon concordance