Contents Online
Mathematical Research Letters
Volume 7 (2000)
Number 1
On the Unfolding of Folded Symplectic Structures
Pages: 35 – 53
DOI: https://dx.doi.org/10.4310/MRL.2000.v7.n1.a4
Authors
Abstract
A folded symplectic structure is a closed 2-form which is nondegenerate except on a hypersurface, and whose restriction to that hypersurface has maximal rank. We show how a compact manifold equipped with a folded symplectic structure can sometimes be broken apart, or “unfolded”, into honest compact symplectic orbifolds. A folded symplectic structure induces a spin-c structure which is canonical (up to homotopy). We describe how the index of the spin-c Dirac operator behaves with respect to unfolding.
Published 1 January 2000