Cobordism of knots on surfaces

Abstract

We introduce a relation of cobordism for knots in thickened surfaces and study cobordism invariants of such knots.

28 pages, no figures

References in corpus (4)

• Categorification of the Kauffman bracket skein module of I-bundles over surfaces
• Weyl Algebras and Knots
• A generalization of several classical invariants of links
• Virtual Knots and Links

Cited by in corpus (14)

• Concordance group of virtual knots
• Virtual knot cobordism and bounding the slice genus
• Signature and concordance of virtual knots
• Extended TQFT's and Quantum Gravity
• Milnor's concordance invariants for knots on surfaces
• Virtual concordance and the generalized Alexander polynomial
• Index Polynomials for Virtual Tangles
• A parity for 2-colourable links
• Additional gradings on generalisations of Khovanov homology and invariants of embedded surfaces
• Virtual Bridge Number One Knots
• Chord index for knots in thickened surfaces
• Crossing indices, traits and the principle of indistinguishability
• Crossing tribes of tangles in a thickened surface
• Ascent concordance