The weak form of Hirzebruch's prize question via rational surgery (Q6584685)

This paper presents a contribution to the field of topology and analysis by addressing Hirzebruch's prize question, which pertains to the existence of a 24-dimensional closed, oriented, smooth manifold with specific properties related to its characteristic classes. The author offers an alternative solution to the problem previously tackled by \textit{M. Mahowald} and \textit{M. J. Hopkins} [Contemp. Math. 293, 89--110 (2002; Zbl 1012.57041)], employing rational surgery theory and a modification of Sullivan's theorem.\N\NThe paper provides a novel approach to a well-known problem in algebraic topology, demonstrating originality in its methods and potentially opening new avenues for further research.