The smooth structure set of S p × S
نویسنده
چکیده
We calculate S (S × S), the smooth structure set of S × S, for p, q ≥ 2 and p + q ≥ 5. As a consequence we show that in general S (S4j−1 × S4k) cannot admit a group structure such that the smooth surgery exact sequence is a long exact sequence of groups. We also show that the image of forgetful map S (S4j ×S4k) → STop(S4j × S4k) is not in general a subgroup of the topological structure set.
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