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

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

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 p...

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Hauptverfasser: Basu, Samik, Kasilingam, Ramesh, Magar-Sawant, Priyanka
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Algebraic Topology
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Zusammenfassung: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.
DOI:10.48550/arxiv.2302.02301