Fusion of Hamiltonian loop group manifolds and cobordism

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.

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

References in corpus (2)

• A symplectic proof of Verlinde factorization
• Lie Group Valued Moment Maps

Cited by in corpus (5)

• Fusion of symmetric $D$-branes and Verlinde rings
• Geometry of moduli spaces of meromorphic connections on curves, Stokes data, wild nonabelian Hodge theory, hyperkahler manifolds, isomonodromic deformations, Painleve equations, and relations to Lie theory
• Moduli spaces of flat connections on 2-manifolds, cobordism, and Witten's volume formulas
• Lie Group Valued Moment Maps
• Eigenvalues of products of unitary matrices and quantum Schubert calculus