Spectral sequences and adiabatic limits

DOI10.1007/BF02099584zbMath0827.58001MaRDI QIDQ1842614

Robin Forman

Publication date: 30 November 1995

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Laplace operatoradiabatic limitLeray spectral sequence

Mathematics Subject Classification ID

Vector distributions (subbundles of the tangent bundles) (58A30)

Related Items (11)

Petites valeurs propres des fibrés principaux en tores ⋮ Spectrum of the Laplacian acting on differential \(p\)-forms, and down breaking handles ⋮ Asymptotics of the spectrum of the Laplace operator on Riemannian sol-manifolds in the adiabatic limit ⋮ Petites valeurs propres et classe d'Euler des S1-fibrés ⋮ Morse-type inequalities for dynamical systems and the Witten Laplacian ⋮ Collapsing, spectrum, and Diophantine properties of Riemannian flows ⋮ Vanishing of cohomology groups and large eigenvalues of the Laplacian on \(p\)-forms ⋮ Adiabatic limit and the Frölicher spectral sequence ⋮ Complete noncompact \(\mathrm{G}_2\)-manifolds from asymptotically conical Calabi-Yau 3-folds ⋮ The adiabatic limit of the connection Laplacian ⋮ Collapsing and the differential form Laplacian: the case of a smooth limit space.

Cites Work

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• The adiabatic limit, Hodge cohomology and Leray's spectral sequence for a fibration
• Global gravitational anomalies
• \(\eta\)-invariants, the adiabatic approximation and conical singularities
• The analysis of elliptic families. I: Metrics and connections on determinant bundles
• A finiteness theorem for foliated manifolds
• Hodge theory and spectral sequences
• η-Invariants and Their Adiabatic Limits
• Adiabatic Limits, Nonmultiplicativity of Signature, and Leray Spectral Sequence

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