Fusion of Hamiltonian loop group manifolds and cobordism

Details Fusion of Hamiltonian loop group manifolds and cobordism Fusion of Hamiltonian loop group manifolds and cobordism

1997-07-24

arxiv.org/abs/dg-ga/9707019v1

Mathematics

Differential Geometry

33 pages, AMS-LaTeX, amssymb,eepic,epic

Scientific paper

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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