The relative symplectic cone and T2-fibrations

Josef G. Dorfmeister, Tian Jun Li

Research output: Contribution to journalArticlepeer-review

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Abstract

In this note we introduce the notion of the relative symplectic cone CMV. As an application, we determine the symplectic cone CM of certain T2-fibrations. In particular, for some elliptic surfaces we verify the conjecture in [17]: If M underlies a minimal Kähler surface with pg > 0, the symplectic cone CM is equal to Pc1(M) ∪ P-c(M), where Pα = {e ∈ H2(M;R)|e·e > 0 and e·α > 0} for nonzero α ∈ H2(M;R) and P0 = {e ∈ H2(M;R)|e·e > 0}.

Original languageEnglish (US)
Pages (from-to)1-35
Number of pages35
JournalJournal of Symplectic Geometry
Volume8
Issue number1
DOIs
StatePublished - Mar 2010

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