The Euler characteristic of a triangulated manifold in terms of even-dimensional faces

Alexey V. Gavrilov

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arXiv · 2510.23623

The Euler characteristic of a triangulated manifold in terms of even-dimensional faces

Alexey V. Gavrilov

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Abstract

We give a formula for the Euler characteristic of a triangulated manifold of even dimension in terms of the numbers of even-dimensional faces only. The coefficients in this formula are universal (they do not depend on the dimension of the manifold).

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Alexey V. Gavrilov. 2025-10-23. The Euler characteristic of a triangulated manifold in terms of even-dimensional faces. https://arxiv.org/abs/2510.23623

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