Birational equivalences of vortex moduli

Steven B. Bradlow, Georgios D. Daskalopoulos, Richard A. Wentworth

Research output: Contribution to journalArticlepeer-review

Abstract

WE CONSTRUCT a finite-dimensional Kähler manifold with a holomorphic, symplectic circle action whose symplectic reduced spaces may be identified with the τ-vortex moduli spaces (or τ-stable pairs). The Morse theory of the circle action induces natural birational maps between the reduced spaces for different values of τ which in the case of rank two bundles can be canonically resolved in a sequence of blow-ups and blow-downs.

Original languageEnglish (US)
Pages (from-to)731-748
Number of pages18
JournalTopology
Volume35
Issue number3
DOIs
StatePublished - Jul 1996
Externally publishedYes

ASJC Scopus subject areas

  • Geometry and Topology

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