An explicit retraction of symplectic flag manifolds onto complex flag manifolds

Deborah Olayide A. Ajayi; Augustin Banyaga

doi:10.1007/s00022-013-0148-4

An explicit retraction of symplectic flag manifolds onto complex flag manifolds

Deborah Olayide A. Ajayi, Augustin Banyaga

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

We construct an explicit deformation retraction of the manifold of symplectic flags onto the manifold of complex flags. The main tool is the polar decomposition of symplectic matrices. We also give a new definition of symplectic Stiefel manifold and prove that it has the same homotopy type as the complex Stiefel manifold.

Original language	English (US)
Pages (from-to)	1-9
Number of pages	9
Journal	Journal of Geometry
Volume	104
Issue number	1
DOIs	https://doi.org/10.1007/s00022-013-0148-4
State	Published - Apr 2013

All Science Journal Classification (ASJC) codes

Geometry and Topology

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title = "An explicit retraction of symplectic flag manifolds onto complex flag manifolds",

abstract = "We construct an explicit deformation retraction of the manifold of symplectic flags onto the manifold of complex flags. The main tool is the polar decomposition of symplectic matrices. We also give a new definition of symplectic Stiefel manifold and prove that it has the same homotopy type as the complex Stiefel manifold.",

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An explicit retraction of symplectic flag manifolds onto complex flag manifolds

Abstract

All Science Journal Classification (ASJC) codes

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