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    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/127/03/0547-0549

    • Keywords

       

      Calabi–Yau threefold; torsion; cocompact lattice; unitary representation

    • Abstract

       

      We prove that there are cocompact lattices $\Gamma$ in $\rm SL(2,\mathbb C)$ with the property that there are holomorphic line bundles $L$ on $\rm SL(2,\mathbb C)/ \Gamma$ with $c_{1}(L) = 0$ such that $L$ does not admit any unitary flat connection.

    • Author Affiliations

       

      INDRANIL BISWAS1 GEORG SCHUMACHER2

      1. School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400 005, India
      2. Fachbereich Mathematik und Informatik, Philipps-Universität Marburg, Lahnberge, Hans-Meerwein-Strasse, D-35032 Marburg, Germany

    • Dates

       
      Published
      1 June 2017
      Manuscript received
      27 October 2016
      Manuscript revised
      Accepted
      6 December 2016
      Early published
      Unedited version published online
      Final version published online
      1 June 2017

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