Quaternionic analytic torsion.

DOI10.1016/S0001-8708(02)00080-4zbMath1044.53033arXivmath/0105103OpenAlexW4210487039MaRDI QIDQ1408807

Gregor Weingart, Kai Köhler

Publication date: 25 September 2003

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0105103

zbMATH Keywords

Laplace operatorhyper-Kähler manifoldsfixed point formulaJantzen sum formulaanti-self-dual vector bundles on quaternionic Kähler manifolds of positive curvaturelattice representations of Chevalley group schemesquaternionic torsion for symmetric spa\-ces

Mathematics Subject Classification ID

Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Differential geometry of symmetric spaces (53C35) Determinants and determinant bundles, analytic torsion (58J52)

Related Items (1)

Real \(K3\) surfaces without real points, equivariant determinant of the Laplacian, and the Borcherds \(\Phi\)-function

Cites Work

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• R-torsion and the Laplacian on Riemannian manifolds
• Analytic torsion for complex manifolds
• Vanishing theorems for quaternionic Kähler manifolds
• Analysis on a Generalized Heisenberg Group
• CONFORMALLY INVARIANT FIRST ORDER DIFFERENTIAL OPERATORS
• Holomorphic torsion on Hermitian symmetric spaces.
• Vanishing Theorems for Quaternionic Complexes
• Yang-Mills fields on quaternionic spaces

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