Timeline for Action of an isomorphism in cohomology as the intersection with the class of the graph
Current License: CC BY-SA 3.0
7 events
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| Apr 13, 2017 at 12:58 | history | edited | CommunityBot |
replaced http://mathoverflow.net/ with https://mathoverflow.net/
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| Jun 12, 2013 at 3:10 | history | edited | Tom Church | CC BY-SA 3.0 |
added 839 characters in body
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| Jun 11, 2013 at 21:30 | comment | added | Andy Putman | @David Speyer : I believe that Bredon's book on algebraic topology does it too. Neither Hatcher nor May discuss smooth manifolds at all, so they really can't discuss this interpretation of cup products. | |
| Jun 11, 2013 at 14:23 | comment | added | Mark Grant | @Tom Church: I believe your description of $[\Gamma_f]$ follows from my answer mathoverflow.net/questions/23011/… | |
| Jun 11, 2013 at 14:22 | comment | added | Mark Grant | @David Speyer: "Lecture Notes in Algebraic Topology" by Davis and Kirk spells out the gory details in the case of complementary dimension (the general case is left as an exercise). It's in their section on intersection theory. | |
| Jun 11, 2013 at 13:02 | comment | added | David E Speyer | Re your aside: If you know that Poincare duality turns cup product into intersection of submanifolds! This fact seems to be a bit hard to find spelled out in current algebraic topology textbooks; I couldn't find it in Hatcher or May on a quick look. | |
| Jun 10, 2013 at 21:29 | history | answered | Tom Church | CC BY-SA 3.0 |