Smoothing the Kervaire manifold (Ex)
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Diarmuid Crowley (Talk | contribs)
(Created page with "<wikitex>; Let $M_K$ be the $PL$ Kervaire $(4k+2)$-manifold and let $\tau \colon M_K \to BPL$ and let $B\pi \colon BPL \to B(PL/O)$ be the canonical map. In addition let $\Si...")
(Created page with "<wikitex>; Let $M_K$ be the $PL$ Kervaire $(4k+2)$-manifold and let $\tau \colon M_K \to BPL$ and let $B\pi \colon BPL \to B(PL/O)$ be the canonical map. In addition let $\Si...")
Latest revision as of 00:45, 26 August 2013
be the bijection defined taking the standard sphere as the base-point for smooth structures on .
Exercise 0.1.
- Show that the Spivak normal fibration of admits a vector bundle reduction.
- Determine the homotopy class of in terms of .