On the Vergne conjecture
Hochs, Peter · Song, Yanli
Original · EN
Consider a Hamiltonian action by a compact Lie group on a possibly noncompact symplectic manifold. We give a short proof of a geometric formula for decomposition into irreducible representations of the equivariant index of a Spinᶜ-Dirac operator in this context. This formula was conjectured by Michèle Vergne in 2006 and proved by Ma and Zhang in 2014.
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