31

Answers
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6
Homology of classifying space of spin group BSpin(n)
5
Applications of string topology structure
2
Homology of loop space
3
Realisability cohomological class as product or as immersed sphere
1
bundle over a chain
1
Which topics/problems could you show to a bright first year mathematics student?
3
Euler characteristic, Gauss-Bonnet, and a product formula
20
Spaces with same homotopy and homology groups that are not homotopy equivalent?
2
Why must a reducible flat SU(2)-connection over a homology sphere be trivial?
5
Euler characteristic of orbifolds
1
Fibrewise homotopy-equivalence of unit sphere bundles vs isomorphism of tangent bundles
0
Examples of categorification
5
How and how much do the notations and diagrams influence our understanding of mathematical concepts?
0
Obstruction Cocycles
2
Euler Characteristic of a manifold with non-vanishing vector field,
1
Equivariant maps inducing isomorphism in integral cohomology
1
What would be your suggestion of textbooks in Lie groups and Galois theory?
2
prime ideals in C([0,1])
10
What are your favorite puzzles/toys for introducing new mathematical concepts to students?
1
When is there a deRham duality relation between the fundamental class and a top form.?
3
Rational homotopy theory of a punctured manifold
2
Cohomology classes annihilated by pullbacks
4
subgroup of SU(N) with maximal manifold dimension
6
Best online mathematics videos?
12
finite generated group realized as fundamental group of manifolds
3
Magic trick based on deep mathematics
4
One-step problems in geometry
1
What is known about the intersection pairing on H^{mid}?
4
Analogue to covering space for higher homotopy groups?
1
Homotopy groups of smooth manifolds?
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