Outputs (33)

Concordance of links with identical Alexander invariants (2014)
Journal Article
Cha, J. C., Friedl, S., & Powell, M. (2014). Concordance of links with identical Alexander invariants. Bulletin of the London Mathematical Society, 46(3), 629-642. https://doi.org/10.1112/blms/bdu002

Davis showed that the topological concordance class of a link in the 3-sphere is uniquely determined by its Alexander polynomial for 2-component links with Alexander polynomial one. A similar result for knots with Alexander polynomial one was shown e... Read More about Concordance of links with identical Alexander invariants.

Links not concordant to the Hopf link (2014)
Journal Article
Friedl, S., & Powell, M. (2014). Links not concordant to the Hopf link. Mathematical Proceedings of the Cambridge Philosophical Society, 156(03), 425-459. https://doi.org/10.1017/s0305004114000036

We give new Casson–Gordon style obstructions for a two–component link to be topologically concordant to the Hopf link.

Cobordisms to weakly splittable links (2013)
Journal Article
Friedl, S., & Powell, M. (2014). Cobordisms to weakly splittable links. Proceedings of the American Mathematical Society, 142(2), 703-712. https://doi.org/10.1090/s0002-9939-2013-11792-2

We show that if a link L with non-zero Alexander polynomial admits a locally flat cobordism to a `weakly m-split link', then the cobordism must have genus at least (m-1)/2. This generalises a recent result of J. Pardon.