تقرير
Pro-nilpotently extended dgca-s and SH Lie-Rinehart pairs
| العنوان: | Pro-nilpotently extended dgca-s and SH Lie-Rinehart pairs |
|---|---|
| المؤلفون: | Pištalo, Damjan |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Algebraic Topology, 55U35, 17B55, 16W25 |
| الوصف: | Category of pro-nilpotently extended differential graded commutative algebras is introduced. Chevalley-Eilenberg construction provides an equivalence between its certain full subcategory and the opposite to the full subcategory of strong homotopy Lie Rinehart pairs with strong homotopy morphisms, consisting of pairs $(A,M)$ where $M$ is flat as a graded $A$-module. It is shown that pairs $(A,M)$, where $A$ is a semi-free dgca and $M$ a cell complex in $\op{Mod}(A)$, form a category of fibrant objects by proving that their Chevalley-Eilenberg complexes form a category of cofibrant objects. Comment: 23 pages, comments welcome |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2406.10883 |
| رقم الأكسشن: | edsarx.2406.10883 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |