On a nonorientable analogue of the Milnor conjecture

DOI10.2140/agt.2021.21.2571zbMath1486.57009arXiv1809.01779OpenAlexW3209199535WikidataQ113727210 ScholiaQ113727210MaRDI QIDQ2667204

Cornelia A. Van Cott, Stanislav Jabuka

Publication date: 24 November 2021

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.01779

zbMATH Keywords

torus knotsnonorientable 4-genus4-dimensional crosscap numberBatson's conjecture

Mathematics Subject Classification ID

Floer homology (57R58) Knot theory (57K10)

Related Items (4)

On a refinement of the non-orientable 4-genus of Torus knots ⋮ Nonorientable surfaces bounded by knots: a geography problem ⋮ On the nonorientable 4-genus of double twist knots ⋮ Comparing nonorientable three genus and nonorientable four genus of torus knots

Cites Work

• Nonorientable slice genus can be arbitrarily large
• Khovanov homology and the slice genus
• Gauge theory for embedded surfaces. I
• Gauge theory for embedded surfaces. II
• Knot Floer homology and the four-ball genus
• The nonorientable 4-genus for knots with 8 or 9 crossings
• Absolutely graded Floer homologies and intersection forms for four-manifolds with boundary
• A counter-example to Batson's conjecture
• Concordance homomorphisms from knot Floer homology
• On cobordisms between knots, braid index, and the upsilon-invariant
• The nonorientable 4-genus of knots
• Signatures of Covering Links
• Four-genus and four-dimensional clasp number of a knot
• Unoriented Knot Floer Homology and the Unoriented Four-Ball Genus
• Singular Points of Complex Hypersurfaces. (AM-61)

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