Slopes, colored links and Kojima's eta concordance invariant
1 hour 1 min,
112.35 MB,
MP3
44100 Hz,
251.47 kbits/sec
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About this item
| Description: |
Lecuona, A (Aix Marseille Université)
Tuesday 31st January 2017 - 09:00 to 10:00 |
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| Created: | 2017-02-10 10:21 |
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| Collection: | Homology theories in low dimensional topology |
| Publisher: | Isaac Newton Institute |
| Copyright: | Lecuona, A |
| Language: | eng (English) |
| 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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