Presented by:
Ana Lecuona Aix Marseille Université
Date:
Tuesday 31st January 2017 - 09:00 to 10:00
Venue:
INI Seminar Room 1
Event:
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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