Shigeki Aida

Asymptotics of lowlying Dirichlet eigenvalues of Witten Laplacians on domains in pinned path groups

Abstract Let G be a compact connected Lie group and P e , a ( G ) = C ([0, 1] → G | γ (0) = e , γ (1) = a ) be the pinned path space with a pinned Brownian motion measure ν λ , a defined by the heat kernel p ( λ −1 t , x , y ), where λ is a positive parameter. We consider a Witte...