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    • Determinants of parabolic bundles on Riemann surfaces

      I Biswas N Raghavendra

      Volume 103 Issue 1 April 1993 pp 41-71

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      https://www.ias.ac.in/article/fulltext/pmsc/103/01/0041-0071

    • Keywords

       

      Parabolic bundles; Riemann surfaces; Kähler metric; Chern forms; π-bundles; Hermitian line bundles; parabolic determinant bundles

    • Abstract

       

      LetX be a compact Riemann surface andMsp(X) the moduli space of stable parabolic vector bundles with fixed rank, degree, rational weights and multiplicities. There is a natural Kähler metric onMsp(X). We obtain a natural metrized holomorphic line bundle onMsp(X) whose Chern form equalsmr times the Kähler form, wherem is the common denominator of the weights andr the rank.

    • Author Affiliations

       

      I Biswas1 N Raghavendra1 2

      1. School of Mathematics, Tata Institute of Fundamental Research, Bombay - 400005, India
      2. School of Mathematics, SPIC Science Foundation, 92, G.N. Chetty Road, Madras - 600017, India

    • Dates

       
      Published
      April 1993
      Manuscript received
      23 November 1992

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