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Fusion of Hamiltonian loop group manifolds and cobordism

Eckhard Meinrenken·Chris Woodward
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Abstract

We construct an oriented cobordism between moduli spaces of flat connections on the three holed sphere and disjoint unions of toric varieties, together with a closed two-form which restricts to the symplectic forms on the ends. As applications, we obtain formulas for mixed Pontrjagin numbers and Witten's formulas for symplectic volumes.

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BibTeXRIS

Eckhard Meinrenken, Chris Woodward. 1997-07-24. Fusion of Hamiltonian loop group manifolds and cobordism. https://arxiv.org/abs/dg-ga/9707019

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