Thông tin tài liệu
Nhan đề : |
Hochschild homology, and a persistent approach via connectivity digraphs |
Tác giả : |
Luigi, Caputi Henri, Riihimäki |
Năm xuất bản : |
2023 |
Nhà xuất bản : |
Springer |
Tóm tắt : |
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. |
Mô tả: |
CC BY |
URI: |
https://link.springer.com/article/10.1007/s41468-023-00118-9 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7660 |
Bộ sưu tập |
OER - Khoa học Tự nhiên |
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