Some remarks on the Schweitzer complex
Algebraic Geometry
2022-04-14 v1 Differential Geometry
Abstract
We prove that the Schweitzer complex is elliptic and its cohomologies define cohomological functors. As applications, we obtain finite dimensionality, a version of Serre duality, restrictions of the behaviour of cohomology in small deformations, and an index formula which turns out to be equivalent to the Hirzebruch-Riemann-Roch relations.
Cite
@article{arxiv.2204.06027,
title = {Some remarks on the Schweitzer complex},
author = {Jonas Stelzig},
journal= {arXiv preprint arXiv:2204.06027},
year = {2022}
}
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