Семинар по геометрической топологии: Моника Кабриа

[Videos from previous talks are available at the seminar webpage http://www.mathnet.ru/php/conference.phtml?confid=192 ]

In this talk, we are going to obtain a presentation of the Alexander module of a 2-component link corresponding to a pair of appropriately chosen Seifert surfaces of the components. This presentation is due to D.Cooper and the proof to be discussed is from recent notes by S. Melikhov (http://www.mathnet.ru/PresentFiles/26687/alexander.pdf).
As an application of this presentation, we will compute the 2-variable Alexander polynomial of torus links and prove two Conway Identities for the 2-variable sign-refined Alexander polynomial.
This second part of the talk is based on Cooper's dissertation (http://web.math.ucsb.edu/~cooper/1.pdf)