Differential forms and invariants of complex manifolds

2025/03/07 by Stelzig, Jonas
#32Q55 #Algebraic Geometry (math.AG) #Algebraic Topology (math.AT) #FOS: Mathematics

paper · doi:10.48550/arxiv.2503.05983

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.

Related

• Hodge classes of Chern character forms on compact Kähler manifolds
• Harmonic Forms, Hodge Theory and the Kodaira Embedding Theorem
• Algebraic Differential Characters
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