Construction of symplectic structures on 4-manifolds with a free circle action
Published online by Cambridge University Press: 21 March 2012
Abstract
Let M be a closed 4-manifold with a free circle action. If the orbit manifold N3 satisfies an appropriate fibering condition, then we show how to represent a cone in H2(M; ℝ) by symplectic forms. This generalizes earlier constructions by Thurston, Bouyakoub and Fernández et al. In the case that M is the product 4-manifold S1 × N, our construction complements our previous results and allows us to determine completely the symplectic cone of such 4-manifolds.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 142 , Issue 2 , April 2012 , pp. 359 - 370
- Copyright
- Copyright © Royal Society of Edinburgh 2012
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