32

Answers
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4
How should one think about pushforward in cohomology?
3
Reference for functors in Kadeishvili’s C_\infty paper
16
What would you want to see at the Museum of Mathematics? (3)
5
homotopy of sphere maps
5
Spectral sequences: opening the black box slowly with an example
2
What is the (Koszul? derived?) interpretation of a pair of Lie algebras with the same cohomology?
3
Which sets of Stiefel-Whitney characteristic numbers be realized as coming from a manifold?
9
How can I visualize the nontrivial element of $\pi_4(S^3)$ and $\pi_5(S^3)$ ?
5
homotopy invariant and coinvariant
5
$\pi_4$ of simply-connected 4-manifold
11
Why aren’t there more classifying spaces in number theory?
8
Advantages of working with CW complexes/spaces over Kan complexes/simplicial sets?
9
Intuitive explanation for the Atiyah-Singer index theorem
20
“Why the heck are the homotopy groups of the sphere so damn complicated?”
3
Natural setting for characteristic classes?
5
Is there any analogs of Vassiliev invariants in higher dimensions?
12
What would be the ramifications of homotopy theory being as easy as homology theory?
2
Rational homotopy type of a complement
6
What is the difference between homology and cohomology?
8
Detailed proof of cup product equivalent to intersection
7
Construction of the Stiefel-Whitney and Chern Classes
24
How do you approach your child’s math education?
4
Understanding iterated integrals
12
How to get product on cohomology using the K(G, n)?
8
Essential theorems in group (co)homology
13
Why does one think to Steenrod squares and powers?
8
Homotopy commutativity of the cup product
6
Applications of the Brown Representability Theorem
8
References for homotopy colimit
10
understanding Steenrod squares
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