Detecting exotic spheres in low dimensions using coker J

التفاصيل البيبلوغرافية
العنوان: Detecting exotic spheres in low dimensions using coker J
المؤلفون: Behrens, Mark, Hill, Michael, Hopkins, Michael J., Mahowald, Mark
سنة النشر: 2017
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Algebraic Topology
الوصف: Building off of the work of Kervaire and Milnor, and Hill, Hopkins, and Ravenel, Xu and Wang showed that the only odd dimensions n for which S^n has a unique differentiable structure are 1, 3, 5, and 61. We show that the only even dimensions below 140 for which S^n has a unique differentiable structure are 2, 6, 12, 56, and perhaps 4.
Comment: 52 pages. Revised version includes some additional recommendations of referee
نوع الوثيقة: Working Paper
DOI: 10.1112/jlms.12301
URL الوصول: http://arxiv.org/abs/1708.06854
رقم الأكسشن: edsarx.1708.06854
قاعدة البيانات: arXiv