Quasipositive plumbing (constructions of quasipositive knots and links, V)

DOI10.1090/S0002-9939-98-04407-4zbMath0888.57010arXivmath/0112277MaRDI QIDQ4372751

Lee Rudolph

Publication date: 16 December 1997

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0112277

zbMATH Keywords

plumbingslice genusMurasugi sumThom conjecturequasipositive surface

Mathematics Subject Classification ID

Related Items (29)

Essential cycles in graph divides as a link representation ⋮ Almost all strongly quasipositive braid closures are fibered ⋮ Trefoil plumbing ⋮ The signature of positive braids is linearly bounded by their first Betti number ⋮ TOWARDS AN IMPLEMENTATION OF THE B–H ALGORITHM FOR RECOGNIZING THE UNKNOT ⋮ On the Lagrangian fillability of almost positive links ⋮ Fundamental group and analytic disks ⋮ The topological slice genus of satellite knots ⋮ Low-dimensional topology. Abstracts from the workshop held January 15--21, 2023 ⋮ An estimate of the Rasmussen invariant for links and the determination for certain links ⋮ Morsifications and mutations ⋮ Almost positive links are strongly quasipositive ⋮ Berge-Gabai knots and \(L\)-space satellite ⋮ NOTIONS OF POSITIVITY AND THE OZSVÁTH–SZABÓ CONCORDANCE INVARIANT ⋮ On unknotting numbers and four-dimensional clasp numbers of links ⋮ Rectangular diagrams of Legendrian graphs ⋮ Quasipositive pretzels ⋮ Hopf plumbing, arborescent Seifert surfaces, baskets, espaliers, and homogeneous braids ⋮ Some fibered and non-fibered links at infinity of hyperbolic complex line arrangements ⋮ Signature, positive Hopf plumbing and the Coxeter transformation (With appendix by Peter Feller and Livio Liechti) ⋮ Legendrian graphs and quasipositive diagrams ⋮ Strongly quasipositive quasi-alternating links and Montesinos links ⋮ Knot theory and plane algebraic curves ⋮ Checkerboard graph monodromies ⋮ Legendrian framings for two-bridge links ⋮ Knot Floer homology and relative adjunction inequalities ⋮ Quasipositivity as an obstruction to sliceness ⋮ Lefschetz fibrations on compact Stein surfaces ⋮ Generalized plumbings and Murasugi sums

Cites Work

• Unnamed Item
• Unnamed Item
• Braided surfaces and Seifert ribbons for closed braids
• Constructions of quasipositive knots and links. III: A characterization of quasipositive Seifert surfaces
• Gauge theory for embedded surfaces. I
• The Murasugi sum is a natural geometric operation
• Quasipositivity as an obstruction to sliceness
• A congruence between link polynomials
• QUASIPOSITIVE ANNULI (CONSTRUCTIONS OF QUASIPOSITIVE KNOTS AND LINKS, IV)
• On a Certain Numerical Invariant of Link Types
• On a Certain Subgroup of the Group of an Alternating Link
• Foliations and the topology of 3-manifolds

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