All Outputs (2)

The four-genus of a link, Levine–Tristram signatures and satellites (2016)
Journal Article
Powell, M. (2017). The four-genus of a link, Levine–Tristram signatures and satellites. Journal of Knot Theory and Its Ramifications, 26(02), Article 1740008. https://doi.org/10.1142/s0218216517400089

We give a new proof that the Levine–Tristram signatures of a link give lower bounds for the minimal sum of the genera of a collection of oriented, locally flat, disjointly embedded surfaces that the link can bound in the 4-ball. We call this minimal... Read More about The four-genus of a link, Levine–Tristram signatures and satellites.

Blanchfield forms and Gordian distance (2016)
Journal Article
Borodzik, M., Friedl, S., & Powell, M. (2016). Blanchfield forms and Gordian distance. Journal of the Mathematical Society of Japan, 68(3), 1047-1080. https://doi.org/10.2969/jmsj/06831047

Given a link in S3S3 we will use invariants derived from the Alexander module and the Blanchfield pairing to obtain lower bounds on the Gordian distance between links, the unlinking number and various splitting numbers. These lower bounds generalise... Read More about Blanchfield forms and Gordian distance.