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

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)2061-2075
Number of pages15
JournalAlgebraic and Geometric Topology
Volume19
Issue number4
DOIs
Publication statusPublished - Jan 1 2019

All Science Journal Classification (ASJC) codes

  • Geometry and Topology

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