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Slopes, colored links and Kojima's eta concordance invariant

Presented by: 
Ana Lecuona Aix Marseille Université
Date: 
Tuesday 31st January 2017 - 09:00 to 10:00
Venue: 
INI Seminar Room 1
Abstract: 
In this talk we will introduce an invariant, the slope, for a colored link in a homology sphere together with a suitable multiplicative character defined on the link group. The slope takes values in the complex numbers union infinity and it is real for finite order characters. It is a generalization of Kojima's eta-invariant and can be expressed as a quotient of Conway polynomials. It is also related to the correction term in Wall’s non-additivity formula for the signatures of 4-manifolds, and as such it appears naturally as a correction term in the expression of the signature formula for the splice of two colored links. This is a work in progress with Alex Degtyarev and Vincent Florens.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons