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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.