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Lott's conjecture on the K-theory pushdown and Becker–Gottlieb transfer
Let $p\colon M\to B$ be a smooth family of manifolds, and let $p_!$ denote the pushdown in Lott's real differential $K$ -theory. Lott's conjecture. The $\Kqo_R$ -pushdown is related…
Conjecturesolvedbecker-gottlieb-transfer differential-k-theoryarXiv posted 2 days ago

Lott's conjecture on the K-theory pushdown and Becker–Gottlieb transfer