Hochschild homology, and a persistent approach via connectivity digraphs
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| Định dạng: | Sách |
| Ngôn ngữ: | English |
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Springer
2023
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| Truy cập trực tuyến: | https://link.springer.com/article/10.1007/s41468-023-00118-9 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7660 |
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oai:localhost:PNK-76602023-04-06T09:50:56Z Hochschild homology, and a persistent approach via connectivity digraphs Luigi, Caputi Henri, Riihimäki persistent Hochschild homology framework Atkin’s q-connectivity CC BY We introduce a persistent Hochschild homology framework for directed graphs. Hochschild homology groups of (path algebras of) directed graphs vanish in degree i≥2. To extend them to higher degrees, we introduce the notion of connectivity digraphs, and analyse two main examples; the first, arising from Atkin’s q-connectivity, and the second, here called n-path digraphs, generalising the classical notion of line graph. Based on a categorical setting for persistent homology, we propose a stable pipeline for computing persistent Hochschild homology groups. This pipeline is also amenable to other homology theories; for this reason, we complement our work with a survey on homology theories of directed graphs. 2023-04-06T09:50:56Z 2023-04-06T09:50:56Z 2023 Book https://link.springer.com/article/10.1007/s41468-023-00118-9 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7660 en application/pdf Springer |
| institution |
Digital Phenikaa |
| collection |
Digital Phenikaa |
| language |
English |
| topic |
persistent Hochschild homology framework Atkin’s q-connectivity |
| spellingShingle |
persistent Hochschild homology framework Atkin’s q-connectivity Luigi, Caputi Henri, Riihimäki Hochschild homology, and a persistent approach via connectivity digraphs |
| description |
CC BY |
| format |
Book |
| author |
Luigi, Caputi Henri, Riihimäki |
| author_facet |
Luigi, Caputi Henri, Riihimäki |
| author_sort |
Luigi, Caputi |
| title |
Hochschild homology, and a persistent approach via connectivity digraphs |
| title_short |
Hochschild homology, and a persistent approach via connectivity digraphs |
| title_full |
Hochschild homology, and a persistent approach via connectivity digraphs |
| title_fullStr |
Hochschild homology, and a persistent approach via connectivity digraphs |
| title_full_unstemmed |
Hochschild homology, and a persistent approach via connectivity digraphs |
| title_sort |
hochschild homology, and a persistent approach via connectivity digraphs |
| publisher |
Springer |
| publishDate |
2023 |
| url |
https://link.springer.com/article/10.1007/s41468-023-00118-9 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7660 |
| _version_ |
1762456096059949056 |
| score |
8.891053 |