Adiabatic limit and the Frölicher spectral sequence

DOI10.2140/pjm.2019.300.121zbMath1472.32019arXiv1709.04332OpenAlexW3100093416MaRDI QIDQ2305059

Dan Popovici

Publication date: 10 March 2020

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.04332

zbMATH Keywords

spectral theorypseudodifferential operatorsHermitian metricsHodge theoryelliptic differential operatorsFrölicher spectral sequence

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) (overlinepartial) and (overlinepartial)-Neumann operators (32W05) de Rham cohomology and algebraic geometry (14F40) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Local cohomology of analytic spaces (32C36)

Related Items (3)

Co-polarised deformations of Gauduchon Calabi-Yau \(\partial \bar{\partial } \)-manifolds and deformation of \(p\)-SKT \(h\)-\(\partial \bar{\partial } \)-manifolds ⋮ Higher-page Bott-Chern and Aeppli cohomologies and applications ⋮ On the structure of double complexes

Cites Work

• 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
• Von Neumann spectra near zero
• A general description of the terms in the Frölicher spectral sequence
• Spectral sequences and adiabatic limits
• Degeneration at E2 of certain spectral sequences
• RELATIONS BETWEEN THE COHOMOLOGY GROUPS OF DOLBEAULT AND TOPOLOGICAL INVARIANTS

This page was built for publication: Adiabatic limit and the Frölicher spectral sequence