Twisted adiabatic limit for complex structures

DOI10.1007/S12220-024-01867-4MaRDI QIDQ6656089

Dan Popovici

Publication date: 2 January 2025

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

zbMATH Keywords

deformations of complex structurescohomology and harmonic theoryelliptic differential operators on complex manifolds

Mathematics Subject Classification ID

Several complex variables and analytic spaces (32-XX) Differential geometry (53-XX)

Cites Work

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• Invariant complex structures on 6-nilmanifolds: classification, Frölicher spectral sequence and special Hermitian metrics
• Isomorphism theorems for cohomology groups of weakly 1-complete manifolds
• The adiabatic limit, Hodge cohomology and Leray's spectral sequence for a fibration
• Global gravitational anomalies
• Higher-page Bott-Chern and Aeppli cohomologies and applications
• Deformations of higher-page analogues of \(\partial{\bar{\partial}} \)-manifolds
• Adiabatic limit and the Frölicher spectral sequence
• Kähler hyperbolicity and \(L_ 2\)-Hodge theory
• Some properties of balanced hyperbolic compact complex manifolds
• Positivity Cones under Deformations of Complex Structures
• Non-Kähler Mirror Symmetry of the Iwasawa Manifold
• Higher-page Hodge theory of compact complex manifolds
• Balanced hyperbolic and divisorially hyperbolic compact complex manifolds

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