Differential forms and invariants of complex manifolds

A survey of some results and open questions related to the following algebraic invariants of compact complex manifolds, that can be obtained from differential forms: cohomology groups, Chern classes, rational homotopy groups, and higher operations.

Publication Details

Journal
ArXiv.org
Published
2025-03-07
Primary Topic
Homotopy and Cohomology in Algebraic Topology
Type
article
Field-Weighted Citation Impact
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article

Differential forms and invariants of complex manifolds

ArXiv.org
Homotopy and Cohomology in Algebraic Topology
article

Differential forms and invariants of complex manifolds

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Abstract

A survey of some results and open questions related to the following algebraic invariants of compact complex manifolds, that can be obtained from differential forms: cohomology groups, Chern classes, rational homotopy groups, and higher operations.

ArXiv.org
Reduced inequalities
Openalex Percentile: Top 46%
Homotopy and Cohomology in Algebraic Topology
Open Access PDFOpenAlex
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Differential forms and invariants of complex manifolds · ArXiv.org (2025) | TGRS Research Map | TGRS