Compactified spaces of holomorphic curves in complex Grassmann manifolds

David E. Hurtubise, Marc D. Sanders

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

In this paper we study the topology of a compactification of the space of holomorphic maps of fixed degree from ℂP1 into a finite-dimensional complex Grassmann manifold. We show that there is a homotopy equivalence through a range, increasing with the degree, between these compact spaces and an infinite-dimensional complex Grassmann manifold. These compact spaces form a direct system indexed by the degree, and the direct limit is homotopy equivalent to an infinite-dimensional complex Grassmann manifold.

Original languageEnglish (US)
Pages (from-to)147-156
Number of pages10
JournalTopology and its Applications
Volume109
Issue number2
DOIs
StatePublished - 2001

All Science Journal Classification (ASJC) codes

  • Geometry and Topology

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