The cohomology of the connective spectra for {K}-theory revisited

التفاصيل البيبلوغرافية
العنوان: The cohomology of the connective spectra for {K}-theory revisited
المؤلفون: Davis, Donald M., Wilson, W. Stephen
المصدر: New York Journal of Mathematics, volume 30, pages 513-520, 2024
سنة النشر: 2024
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - K-Theory and Homology, Mathematics - Algebraic Topology, 55S10, 55R45, 55N15
الوصف: The stable mod 2 cohomologies of the spectra for connective real and complex K-theories are well known and easy to work with. However, the known bases are in terms of the anti-automorphism of Milnor basis elements. We offer simple bases in terms of admissible sequences of Steenrod operations that come from the Adem relations. In particular, the basis for the complex case is that you don't use any Steenrod operations in degree one or $2^n+1$, $n > 0$.
Comment: Feedback welcome
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2401.06615
رقم الأكسشن: edsarx.2401.06615
قاعدة البيانات: arXiv