دورية أكاديمية
Persistence Steenrod modules
| العنوان: | Persistence Steenrod modules |
|---|---|
| المؤلفون: | Lupo, U., Medina-Mardones, A., Tauzin, G. |
| المصدر: | Journal of Applied and Computational Topology |
| سنة النشر: | 2022 |
| المجموعة: | Max Planck Society: MPG.PuRe |
| الوصف: | It has long been envisioned that the strength of the barcode invariant of filtered cellular complexes could be increased using cohomology operations. Leveraging recent advances in the computation of Steenrod squares, we introduce a new family of computable invariants on mod 2 persistent cohomology termed $Sq^k$-barcodes. We present a complete algorithmic pipeline for their computation and illustrate their real-world applicability using the space of conformations of the cyclo-octane molecule. |
| نوع الوثيقة: | article in journal/newspaper |
| وصف الملف: | application/pdf |
| اللغة: | English |
| العلاقة: | info:eu-repo/semantics/altIdentifier/arxiv/1812.05031; http://hdl.handle.net/21.11116/0000-000A-98FD-ETest; http://hdl.handle.net/21.11116/0000-000A-98FF-CTest; http://hdl.handle.net/21.11116/0000-000B-F3AE-FTest |
| الإتاحة: | https://doi.org/10.1007/s41468-022-00093-7Test http://hdl.handle.net/21.11116/0000-000A-98FD-ETest http://hdl.handle.net/21.11116/0000-000A-98FF-CTest http://hdl.handle.net/21.11116/0000-000B-F3AE-FTest |
| حقوق: | info:eu-repo/semantics/openAccess ; http://arxiv.org/licenses/nonexclusive-distrib/1.0Test/ |
| رقم الانضمام: | edsbas.6FE1D5D9 |
| قاعدة البيانات: | BASE |
| الوصف غير متاح. |