TY - JOUR
T1 - Representing a point and the diagonal as zero loci in flag manifolds
AU - Kaji, Shizuo
N1 - Publisher Copyright:
© 2019, Mathematical Sciences Publishers. All rights reserved.
PY - 2019
Y1 - 2019
N2 - 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.
AB - 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.
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U2 - 10.2140/agt.2019.19.2061
DO - 10.2140/agt.2019.19.2061
M3 - Article
AN - SCOPUS:85073388008
VL - 19
SP - 2061
EP - 2075
JO - Algebraic and Geometric Topology
JF - Algebraic and Geometric Topology
SN - 1472-2747
IS - 4
ER -