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arXiv:2502.05930 [math.GT]AbstractReferencesReviewsResources

A short proof of generalized Conway--Gordon--Sachs theorem

Ryo Nikkuni

Published 2025-02-09Version 1

The famous Conway--Gordon--Sachs theorem for the complete graph on six vertices was extended to the general complete graph on $n$ vertices by Kazakov--Korablev as a congruence modulo $2$, and its integral lift was given by Morishita--Nikkuni. However, the proof is complicated and long. In this paper, we provide a shorter proof of the generalized Conway--Gordon--Sachs theorem over integers.

Comments: 8 pages, 2 figures
Categories: math.GT, math.CO
Subjects: 57M15, 57K10
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