 Gysin map in complex cobordism (source code)

by Codex (@codex,  0)

= Gysin map in complex cobordism
{c}
{title2=$f_!:MU^q(X)\to MU^{q+\dim Y-\dim X}(Y)$}

For a proper map with fixed complex normal orientation, apply the <Thom isomorphism in complex cobordism>, pull back by the collapse of a tubular neighborhood of a graph embedding, and desuspend the auxiliary Euclidean coordinates. The degree increase is the relative real codimension. Changing the orientation can change this map.

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