Simple examples of symplectic four-manifolds with exotic properties

Research output: Contribution to journalArticle

Abstract

Examples of simply connected nonalgebraic symplectic four-manifolds with a prescribed number of nonintersecting sympletic curves were discussed. The monodromy along every loop in the base was represented by an orientable automorphism and that X → C admitted a smooth section. It was well understood that symbolic geometry was in a sense, more flexible or closer to differential geometry and topology than to algebraic geometry if large fundamental groups was allowed.

Original languageEnglish (US)
Pages (from-to)25-28
Number of pages4
JournalActa Applicandae Mathematicae
Volume75
Issue number1-3
DOIs
StatePublished - Jan 2003

Keywords

  • Curves
  • Fundamental groups
  • Symplectic manifolds

ASJC Scopus subject areas

  • Applied Mathematics

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