Smooth structures on PL-manifolds of dimensions between 8 and 10

2023/02/05 by Samik Basu, Basu, Samik, Ramesh Kasilingam +3
Mathematics · Medicine · Physics and Astronomy · #55P42 #57Q60 #57R55 #Advanced Differential Geometry Research #Algebraic Topology (math.AT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Ophthalmology and Eye Disorders #Primary: 57N70 #Secondary: 55P10

paper · pdf · doi:10.48550/arxiv.2302.02301

openalex publication_date 2023/02/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we identify the concordance classes of smooth structures on PL-manifolds of dimension between 8 and 10 in terms of the cohomology and Steenrod operations. This leads to the computation of the homotopy inertia groups. Finally we discuss the special cases of Lens spaces and real projective spaces.

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