تقرير
Higher (equivariant) topological complexity of Milnor manifolds
| العنوان: | Higher (equivariant) topological complexity of Milnor manifolds |
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| المؤلفون: | Daundkar, Navnath, Singh, Bittu |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Algebraic Topology, 55M30, 55S40, 55P15, 57N65 |
| الوصف: | Milnor manifolds are the total spaces of projectivizations of certain vector bundles over projective spaces. In this paper, we compute the sharp bounds on the higher topological complexity of these manifolds, and in many cases, we compute its exact value. We also compute sharp bounds on the higher equivariant topological complexity of Milnor manifolds, when they admit free $\mathbb{Z}_2$ and circle-actions. Comment: The proof of Proposition 2.8 has been corrected. Consequently, we only get nth TC of Klein bottle to be maximal for n strictly greater than 2. We have changed the abstract accordingly |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2308.14138 |
| رقم الأكسشن: | edsarx.2308.14138 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |