On the Quillen determinant

DOI10.1016/J.GEOMPHYS.2003.07.001zbMath1078.53077arXivmath/0309127OpenAlexW2019109022MaRDI QIDQ557214

Kenro Furutani

Publication date: 23 June 2005

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0309127

zbMATH Keywords

Fredholm determinantMaslov index\(K\)-groupFredholm Lagrangian GrassmannianQuillen line bundle

Mathematics Subject Classification ID

Fredholm structures on infinite-dimensional manifolds (58B15) Lagrangian submanifolds; Maslov index (53D12) Geometric quantization (53D50) Spectral flows (58J30)

Related Items (1)

Fredholm-Lagrangian-Grassmannian and the Maslov index

Cites Work

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• Morse homology
• Determinants of Cauchy-Riemann operators as \(\tau\)-functions
• Determinants of Cauchy-Riemann operators on a Riemann surface
• The \(\zeta\)-determinant and Quillen determinant for a Dirac operator on a manifold with boundary
• Index theory for skew-adjoint Fredholm operators
• Fourier integral operators. I
• Traces and determinants of linear operators

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