Representing a point and the diagonal as zero loci in flag manifolds

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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.

元の言語英語
ページ(範囲)2061-2075
ページ数15
ジャーナルAlgebraic and Geometric Topology
19
発行部数4
DOI
出版物ステータス出版済み - 1 1 2019

All Science Journal Classification (ASJC) codes

  • Geometry and Topology

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