Tangential smoothings of $k$-fold connected sum of complex projective spaces

arXiv2306.16911MaRDI QIDQ6510834

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Abstract: In this paper, we determine the $0^{e}xtth$ stable cohomotopy groups of $k$-fold connected sums of complex projective $n$-spaces $$, within the range of $3leqnleq8$. In addition, we compute the reduced $K$ and $KO$-groups of $$ for all $k,ngeq2$. As a consequence, we establish the set of smooth normal invariants for these manifolds.

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