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Seminars

Lin-Wang type formula for the Haefliger invariant

Hold Date
2018-06-08 16:00〜2018-06-08 17:00
Place
Lecture Room S W1-C-514, West Zone 1, Ito campus, Kyushu University
Object person
 
Speaker
Keiichi SAKAI (Shinshu University)

Abstract:
The isotopy classes of long embeddings from R^{4k-1} to R^{6k} are classified by the Haefliger invariant.
This talk includes two facts;
- Lin-Wang type formula for the Vassiliev invariant of classical knots of order 2 also holds for the Haefliger invariant,
- we can define an invariant of some kind of generic long immersions from R^{4k-1} to R^{6k} using the Haefliger invariant.
These facts are obtained by describing the Haefliger invariant using configuration space integral.