Abstract.
We develop a theory of symplectic cobordism and a Duistermaat-Heckman principle for Hamiltonian loop group actions. As an application, we construct a symplectic cobordism between moduli spaces of flat connections on the three holed sphere and disjoint unions of toric varieties. This cobordism yields formulas for the mixed Pontrjagin numbers of the moduli spaces, equivalent to Witten's formulas in the case of symplectic volumes.
Similar content being viewed by others
Author information
Authors and Affiliations
Additional information
Received June 15, 1998
Rights and permissions
About this article
Cite this article
Meinrenken, E., Woodward, C. Cobordism for Hamiltonian loop group actions and flat connections on the punctured two-sphere. Math Z 231, 133–168 (1999). https://doi.org/10.1007/PL00004718
Issue Date:
DOI: https://doi.org/10.1007/PL00004718