Geodesic
Radial index related to an intersection index
Journal of Singularities, Tome 17 (2018), pp. 403-412

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On a closed semialgebraic set X with an isolated singularity at 0, we consider a vector field V with an isolated singularity at 0 and study its radial index at the singularity. We first prove a relation between this index and the radial index at 0 of the vector field -V and give some corollaries of this formula. Then we express the radial index of V at 0 in terms of the intersection index of two submanifolds of a certain bundle defined over the link of the singularity.
DOI : 10.5427/jsing.2018.17r
Classification : 14P10, 14P25, 58K05 
@article{10_5427_jsing_2018_17r,
     author = {Julie Lapebie},
     title = {Radial index related to an intersection index},
     journal = {Journal of Singularities},
     pages = {403--412},
     publisher = {mathdoc},
     volume = {17},
     year = {2018},
     doi = {10.5427/jsing.2018.17r},
     url = {http://geodesic.mathdoc.fr/articles/10.5427/jsing.2018.17r/}
}
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Julie Lapebie. Radial index related to an intersection index. Journal of Singularities, Tome 17 (2018), pp. 403-412. doi: 10.5427/jsing.2018.17r

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