Geodesic
Representing a point and the diagonal as zero loci in flag manifolds
Kaji, Shizuo1
1 Institute of Mathematics for Industry, Kyushu University, Fukuoka, Japan
Algebraic and Geometric Topology, Tome 19 (2019) no. 4, pp. 2061-2075

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

The zero locus of a generic section of a vector bundle over a manifold defines a submanifold. A classical problem in geometry asks to realise a specified submanifold in this way. We study two cases: a point in a generalised flag manifold and the diagonal in the direct product of two copies of a generalised flag manifold. These cases are particularly interesting since they are related to ordinary and equivariant Schubert polynomials, respectively.

DOI : 10.2140/agt.2019.19.2061
Classification : 57T20, 55R25
Keywords: flag manifold, diagonal, Chern class

Kaji, Shizuo 1

1 Institute of Mathematics for Industry, Kyushu University, Fukuoka, Japan 
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Kaji, Shizuo. Representing a point and the diagonal as zero loci in flag manifolds. Algebraic and Geometric Topology, Tome 19 (2019) no. 4, pp. 2061-2075. doi: 10.2140/agt.2019.19.2061

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