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arXiv · 2204.06027

Some remarks on the Schweitzer complex

Jonas Stelzig
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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.

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Jonas Stelzig. 2022-04-12. Some remarks on the Schweitzer complex. https://arxiv.org/abs/2204.06027

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