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Jun 16, 2017 at 21:36 vote accept truebaran
Jun 16, 2017 at 12:34 answer added Mark Grant timeline score: 3
Jun 16, 2017 at 11:14 comment added truebaran This is based upon expository paper by Landweber "K-theory and Elliptic operators" page 16
Jun 16, 2017 at 8:10 comment added Mark Grant Where are you reading about this construction? It seems a bit garbled. Normally you would compose the Thom isomorphism $K^*(X)\cong \tilde{K}^*(Th(N))$ for the normal bundle with the map $\tilde{K}^*(Th(N))\to K^*(Y)$ induced by collapsing the complement of the tubular neighbourhood (I suppose this could be thought of as extending a complex bundle from $Th(N)$ to $Y_+$). This requires that the normal bundle is oriented with respect to $K$-theory, i.e has a spin^c structure.
Jun 16, 2017 at 0:05 history asked truebaran CC BY-SA 3.0