Tangential smoothings of k-fold connected sum of complex projective spaces

2023/06/29 by Priyanka Magar-Sawant, Magar-Sawant, Priyanka
Mathematics · #55Q10 #55Q55 #55R50 #Algebraic Topology (math.AT) #FOS: Mathematics #Geometric and Algebraic Topology #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2306.16911

openalex publication_date 2023/06/29 · openalex created_date 2023/07/01 · openalex updated_date 2026/07/28

Abstract

This paper determines tangential structure set of #_kℂPⁿ, for 3≤ n ≤ 7, by analyzing their stable cohomotopy groups and KO-groups. As a consequence, it establishes the existence of manifolds with tangential homotopy type but not homeomorphic to #_kℂPⁿ for n=4,5.

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