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DC Field | Value | Language |
---|---|---|
dc.contributor.author | Luigi, Caputi | - |
dc.contributor.author | Henri, Riihimäki | - |
dc.date.accessioned | 2023-04-06T09:50:56Z | - |
dc.date.available | 2023-04-06T09:50:56Z | - |
dc.date.issued | 2023 | - |
dc.identifier.uri | https://link.springer.com/article/10.1007/s41468-023-00118-9 | - |
dc.identifier.uri | https://dlib.phenikaa-uni.edu.vn/handle/PNK/7660 | - |
dc.description | CC BY | vi |
dc.description.abstract | 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. | vi |
dc.language.iso | en | vi |
dc.publisher | Springer | vi |
dc.subject | persistent Hochschild homology framework | vi |
dc.subject | Atkin’s q-connectivity | vi |
dc.title | Hochschild homology, and a persistent approach via connectivity digraphs | vi |
dc.type | Book | vi |
Appears in Collections | ||
OER - Khoa học Tự nhiên |
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