complex oriented cohomology theory

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complex oriented cohomology theory

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Think of this as a factorization of the counit

https://q.uiver.app/?q=WzAsMyxbMCwwLCJcXFNTIl0sWzIsMCwiWCBcXGRhIFxcU2lnbWFee1xcaW5mdHktMn1cXENQXntcXGluZnR5fSJdLFs0LDAsIkUiXSxbMSwyLCJ4XkUiXSxbMCwyLCJcXGV0YV9FIiwyLHsiY3VydmUiOjV9XSxbMCwxLCJcXGV0YV9YIl1d

A ring spectrum E is complex orientable iff the Atiyah Hirzebruch spectral sequence collapses at E2: Ep,q2=Hp(CP;πq(E))Ep+q(CP)

Motivations

attachments/Pasted%20image%2020220508195645.png attachments/Pasted%20image%2020220508195655.png attachments/Pasted%20image%2020220508195926.png

#todo/untagged #todo/add-references