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 Please use this identifier to cite or link to this item: http://hdl.handle.net/1807/9557

 Title: The Verlinde Formula For Parabolic Bundles Authors: Jeffrey, L.C. Issue Date: 2001 Publisher: Cambridge University Press Citation: Jeffrey, L. C. (. (2001). The verlinde formula for parabolic bundles. Journal of the London Mathematical Society, 63(3), 754. Abstract: Let Σg be a compact Riemann surface of genus g, and G = SU(n). The central element c = diag(e2πid/n, …, e2πid/n) for d coprime to n is introduced. The Verlinde formula is proved for the Riemann–Roch number of a line bundle over the moduli space g, 1(c, Λ) of representations of the fundamental group of a Riemann surface of genus g with one boundary component, for which the loop around the boundary is constrained to lie in the conjugacy class of cexp(Λ) (for Λ ∈ t+), and also for the moduli space g, b(c, Λ) of representations of the fundamental group of a Riemann surface of genus g with s + 1 boundary components for which the loop around the 0th boundary component is sent to the central element c and the loop around the jth boundary component is constrained to lie in the conjugacy class of exp(Λ(j)) for Λ(j) ∈ t+. The proof is valid for Λ(j) in suitable neighbourhoods of 0. Description: (c) 2001 Cambridge University Press URI: http://hdl.handle.net/1807/9557 ISSN: 1469-7750 Appears in Collections: Mathematics

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