The Twistor correspondence of the Dolbeault complex over $\C^n$

TL;DR

This paper provides an explicit description of the inverse twistor correspondence for the Dolbeault complex on flat complex space, enhancing understanding of the geometric and analytical structures involved.

Contribution

It introduces a concrete inverse construction for the twistor correspondence specific to the Dolbeault complex on ^n, which was previously not explicitly described.

Findings

Explicit inverse twistor correspondence constructed

Clarifies geometric structure of Dolbeault complex on ^n

Facilitates further analytical and geometric studies

Abstract

With respect to the Dolbeault complex over the flat manifold $\C^n$, an explicit description of the inverse correspondence of the twistor correspondence is given.