Reconnectads
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| Soggetti: | |
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| _version_ | 1866913587846447104 |
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| author | Dotsenko, Vladimir Keilthy, Adam Lyskov, Denis |
| author_facet | Dotsenko, Vladimir Keilthy, Adam Lyskov, Denis |
| contents | We introduce a new operad-like structure that we call a reconnectad; the ``input'' of an element of a reconnectad is a finite simple graph, rather than a finite set, and ``compositions'' of elements are performed according to the notion of the reconnected complement of a subgraph. The prototypical example of a reconnectad is given by the collection of toric varieties of graph associahedra of Carr and Devadoss, with the structure operations given by inclusions of orbits closures. We develop the general theory of reconnectads, and use it to study the ``wonderful reconnectad'' assembled from homology groups of complex toric varieties of graph associahedra. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_15754 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Reconnectads Dotsenko, Vladimir Keilthy, Adam Lyskov, Denis Category Theory Combinatorics K-Theory and Homology We introduce a new operad-like structure that we call a reconnectad; the ``input'' of an element of a reconnectad is a finite simple graph, rather than a finite set, and ``compositions'' of elements are performed according to the notion of the reconnected complement of a subgraph. The prototypical example of a reconnectad is given by the collection of toric varieties of graph associahedra of Carr and Devadoss, with the structure operations given by inclusions of orbits closures. We develop the general theory of reconnectads, and use it to study the ``wonderful reconnectad'' assembled from homology groups of complex toric varieties of graph associahedra. |
| title | Reconnectads |
| topic | Category Theory Combinatorics K-Theory and Homology |
| url | https://arxiv.org/abs/2211.15754 |