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• W2950994082 abstract "Using the $ku$- and $BP$-theoretic versions of Astey's cobordism obstruction for the existence of smooth Euclidean embeddings of stably almost complex manifolds, we prove that, for $e$ greater than or equal to $alpha(n)$--the number of ones in the dyadic expansion of $n$--, the ($2n+1$)-dimensional $2^e$-torsion lens space cannot be embedded in Euclidean space of dimension $4n-2alpha(n)+1$. A slightly restricted version of this fact holds for $e<alpha(n)$. We also give an inductive construction of Euclidean embeddings for $2^e$-torsion lens spaces. Some of our best embeddings are within one dimension of being optimal." @default.
• W2950994082 created "2019-06-27" @default.
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• W2950994082 date "2009-06-04" @default.
• W2950994082 modified "2023-10-18" @default.
• W2950994082 title "On the embedding dimension of 2-torsion lens spaces" @default.
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• W2950994082 hasPublicationYear "2009" @default.
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