HOLOMORPHIC QUILLEN DETERMINANT LINE BUNDLES ON INTEGRAL COMPACT KAHLER MANIFOLDS

DOI10.1093/qmath/has040zbMath1280.32013arXiv1202.5213OpenAlexW2102524930MaRDI QIDQ2851201

Rukmini Dey, Varghese Mathai

Publication date: 10 October 2013

Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.5213

zbMATH Keywords

Kähler manifoldsQuillen determinant

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Kähler manifolds (32Q15) Determinants and determinant bundles, analytic torsion (58J52)

Related Items (3)

The dimension of the Hilbert space of geometric quantization of vortices on a Riemann surface ⋮ Geometric quantization of the Hitchin system ⋮ Realization of an equivariant holomorphic Hermitian line bundle as a Quillen determinant bundle

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