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

Shizuo Kaji

doi:10.2140/agt.2019.19.2061

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

Shizuo Kaji

Division of Advanced Mathematics Technology

Research output: Contribution to journal › Article

Abstract

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.

Original language	English
Pages (from-to)	2061-2075
Number of pages	15
Journal	Algebraic and Geometric Topology
Volume	19
Issue number	4
DOIs	https://doi.org/10.2140/agt.2019.19.2061
Publication status	Published - Jan 1 2019

All Science Journal Classification (ASJC) codes

Geometry and Topology

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Kaji, S. (2019). Representing a point and the diagonal as zero loci in flag manifolds. Algebraic and Geometric Topology, 19(4), 2061-2075. https://doi.org/10.2140/agt.2019.19.2061

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