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Analytic torsion and l^2-torsion of compact locally symmetric manifolds

Werner Muller Universit¨at Bonn Jonathan Pfaff Universit¨at Bonn

Differential Geometry mathscidoc:1609.10327

Journal of Differential Geometry, 95, (1), 71-119, 2013
In this paper we study the analytic torsion and the L2-torsion of compact locally symmetric manifolds. We consider the analytic torsion with respect to representations of the fundamental group which are obtained by restriction of irreducible representations of the group of isometries of the underlying symmetric space. The main purpose is to study the asymptotic behavior of the analytic torsion with respect to sequences of representations associated to rays of highest weights.
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@inproceedings{werner2013analytic,
  title={ANALYTIC TORSION AND L^2-TORSION OF COMPACT LOCALLY SYMMETRIC MANIFOLDS},
  author={Werner Muller, and Jonathan Pfaff},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160914081811973730989},
  booktitle={Journal of Differential Geometry},
  volume={95},
  number={1},
  pages={71-119},
  year={2013},
}
Werner Muller, and Jonathan Pfaff. ANALYTIC TORSION AND L^2-TORSION OF COMPACT LOCALLY SYMMETRIC MANIFOLDS. 2013. Vol. 95. In Journal of Differential Geometry. pp.71-119. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160914081811973730989.
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