Nonorientable surfaces bounded by knots: a geography problem

arXiv2007.14332MaRDI QIDQ6120502

Samantha Allen

Publication date: 21 February 2024

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.14332

zbMATH Keywords

knotEuler numbergenusnonorientable

Mathematics Subject Classification ID

Knot theory (57K10)

Cites Work

• Unnamed Item
• Nonorientable slice genus can be arbitrarily large
• Calculating Heegaard-Floer homology by counting lattice points in tetrahedra
• Rational homology spheres and the four-ball genus of knots
• On the signature of a link
• On intersection forms of definite 4-manifolds bounded by a rational homology 3-sphere
• The nonorientable 4-genus for knots with 8 or 9 crossings
• Absolutely graded Floer homologies and intersection forms for four-manifolds with boundary
• Connecting lemmas and representing homology classes of simply connected 4-manifolds
• Dehn surgeries and negative-definite four-manifolds
• Heegaard Floer homology and several families of Brieskorn spheres
• Concordance homomorphisms from knot Floer homology
• On the Ozsváth-Szabó invariant of negative definite plumbed 3-manifolds
• On cobordisms between knots, braid index, and the upsilon-invariant
• Proof of a conjecture of Whitney
• On a nonorientable analogue of the Milnor conjecture
• The nonorientable 4-genus of knots
• Signatures of Covering Links
• Knots, Groups and 3-Manifolds (AM-84)
• Unoriented Knot Floer Homology and the Unoriented Four-Ball Genus
• A Concordance Invariant from the Floer Homology of Double Branched Covers
• On a Certain Numerical Invariant of Link Types
• On a refinement of the non-orientable 4-genus of Torus knots
• Heegaard-Floer homologies of \((+1)\) surgeries on torus knots

This page was built for publication: Nonorientable surfaces bounded by knots: a geography problem