A short proof of the generalized Conway--Gordon--Sachs theorem
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866913906224529408 |
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| author | Nikkuni, Ryo |
| author_facet | Nikkuni, Ryo |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_05930 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A short proof of the generalized Conway--Gordon--Sachs theorem Nikkuni, Ryo Geometric Topology Combinatorics 57M15, 57K10 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. |
| title | A short proof of the generalized Conway--Gordon--Sachs theorem |
| topic | Geometric Topology Combinatorics 57M15, 57K10 |
| url | https://arxiv.org/abs/2502.05930 |