The Dijkgraaf-Witten invariant is a partial case of the photography method
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866909230813937664 |
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| author | Manturov, Vassily Olegovich |
| author_facet | Manturov, Vassily Olegovich |
| contents | In \cite{ManturovNikonovMay2023,ManturovWanMay2023} the author discovered a very general principle (called {\em the photography principle}) which allows one: a) To solve various equations (like pentagon equation) b) To construct invariants of manifolds. The advantage of that principle is that it deals with a very general notion of {\em data} and {\em data transmission} which may be of any kind. In the present paper, we show that the definition of the Dijkgraaf-Witten invariants of manifolds can be thought of as an evidence of the above principle. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2309_01735 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The Dijkgraaf-Witten invariant is a partial case of the photography method Manturov, Vassily Olegovich Geometric Topology In \cite{ManturovNikonovMay2023,ManturovWanMay2023} the author discovered a very general principle (called {\em the photography principle}) which allows one: a) To solve various equations (like pentagon equation) b) To construct invariants of manifolds. The advantage of that principle is that it deals with a very general notion of {\em data} and {\em data transmission} which may be of any kind. In the present paper, we show that the definition of the Dijkgraaf-Witten invariants of manifolds can be thought of as an evidence of the above principle. |
| title | The Dijkgraaf-Witten invariant is a partial case of the photography method |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2309.01735 |