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<p>The goal of the paper is to show that the notion of Euler characteristic admits a natural extension to the elements of twisted noncommutative polyballs and to obtain an analogue of Arveson’s operator-theoretic version of the Gauss-Bonnet-Chern theorem from Riemannian geometry.</p>

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Gauss-Bonnet-Chern theorem on twisted noncommutative polyballs

  • 期刊论文

  • 发表日期：

    2025年10月22日

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  • Gelu Popescu

摘要

The goal of the paper is to show that the notion of Euler characteristic admits a natural extension to the elements of twisted noncommutative polyballs and to obtain an analogue of Arveson’s operator-theoretic version of the Gauss-Bonnet-Chern theorem from Riemannian geometry.