2001/05/11 by Kai Koehler, Koehler, Kai, Gregor Weingart +1
Mathematics · #53C25 #53C26 #53C35 #58J52 #Advanced Topics in Algebra #Algebraic and Geometric Analysis #Differential Geometry (math.DG) #FOS: Mathematics #Geometry and complex manifolds #Spectral Theory (math.SP) #math.DG #math.SP #msc:53C25 #msc:53C26 #msc:53C35 #msc:58J52
paper · pdf · doi:10.48550/arxiv.math/0105103
22 pages; requires Waldi's symbol font wasysym (included in teTeX)
arxiv created 2001/05/11 · openalex publication_date 2001/05/11 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We define an (equivariant) quaternionic analytic torsion for antiselfdual vector bundles on quaternionic Kaehler manifolds, using ideas by Leung and Yi. We compute this torsion for vector bundles on quaternionic homogeneous spaces with respect to any isometry in the component of the identity, in terms of roots and Weyl groups.