I gave *intersection product* an Idea-section and more references, only to realize that I had already an old entry *intersection pairing*. Have merged the material now. But of course it still needs more (more polishing, more content, etc.)

I had added some sentences to *intersection pairing*, mostly for the case in differential cohomology.

Yes, the symbol $\int_X$ is fiber integration in the given cohomology theory $H$, and so we need $H$-orientation.

I have added a brief remark on this to the entry now. But this is by purpose still just under “Idea”. Eventually a more detailed discussion needs to be given.

]]>Maybe you need some orientability assumption on the “space”.

]]>stub for *intersection pairing*