Title: Gluing formulas for determinants of Dolbeault laplacians on Riemann surfaces
Speaker: Richard Wentworth
Speaker Info: University of Maryland
Brief Description:
Special Note:
Abstract:
We present new elliptic boundary conditions for laplace operators of framed holomorphic hermitian line bundles on Riemann surfaces with boundary. The framing is a choice of trivialization near the boundary. These boundary conditions give rise to gluing formulas for determinants on closed surfaces. We will show how a key step in the proof of the "bosonization formulas" for determinants of laplacians follows directly from these formulas.Date: Tuesday, May 17, 2011