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arXiv · 2302.02301

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

Samik Basu·Ramesh Kasilingam·Priyanka Magar-Sawant
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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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Samik Basu, Ramesh Kasilingam, Priyanka Magar-Sawant. 2023-02-05. Smooth structures on PL-manifolds of dimensions between 8 and 10. https://arxiv.org/abs/2302.02301

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