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    5. Issue 4

    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/129/04/0062

    • Keywords

       

      Sasakian manifold; categorical quotient; symplectic reduction

    • Abstract

       

      When a complex semisimple group $G$ acts holomorphically on a K\"ahler manifold $(X,\, \omega)$ such that a maximal compact subgroup $K\, \subset\, G$ preserves the symplectic form $\omega$, a basic result of symplectic geometry says that the corresponding categorical quotient $X/G$ can be identified with the quotient of the zero-set of the moment map by the action of $K$. We extend this to the context of a semisimple group acting on a Sasakian manifold.

    • 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, 35032 Marburg, Germany

    • Dates

       
      Published
      1 September 2019
      Manuscript received
      1 June 2018
      Manuscript revised
      8 October 2018
      Accepted
      18 October 2018
      Early published
      Unedited version published online
      Final version published online
      27 June 2019

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