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math.DG2010
Gluing formulas for determinants of Dolbeault laplacians on Riemann surfaces
Richard A. Wentworth
We present gluing formulas for zeta regularized determinants of Dolbeault laplacians on Riemann surfaces. These are expressed in terms of determinants of associated operators on su…
math.DG2010
Morse theory and stable pairs
Richard A. Wentworth, Graeme Wilkin
We study the Morse theory of the Yang-Mills-Higgs functional on the space of pairs , where is a unitary connection on a rank 2 hermitian vector bundle over a compact Rie…