Folded symplectic toric four-manifolds

We show that two orientable, four-dimensional folded symplectic toric manifolds are isomorphic provided that their orbit spaces have trivial degree-two integral cohomology and there exists a diffeomorphism of the orbit spaces (as manifolds with corners) preserving orbital moment maps.

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Received 6 August 2015

Accepted 8 December 2017

Published 26 November 2018