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Results tagged with gt.geometric-topology
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user 32972
Topology of cell complexes and manifolds, classification of manifolds (e.g. smoothing, surgery), low dimensional topology (e.g. knot theory, invariants of 4-manifolds), embedding theory, combinatorial and PL topology, geometric group theory, infinite dimensional topology (e.g. Hilbert cube manifolds, theory of retracts).
12
votes
2
answers
653
views
Vector bundle for prescribed Stiefel-Whitney classes
I hope this is not trivial.
Let $B$ be a nice topological space (paracompact, CW-complex or whatever you think is nice)
For $i=1,\ldots,n$ let $x_i \in H^i(B,\mathbb{Z}_2)$ be certain cohomology cla …
- 35.9k
12
votes
2
answers
759
views
Algebraic Stratifications of $G$-varieties
My question is simple:
Given an algebraic group $G$ acting on a variety $X$ algebraically. If the orbits are of finite number then they form what is called an algebraic stratification of $X$.
Now my …
- 2,554
5
votes
Accepted
Algebraic Stratifications of $G$-varieties
So Ulrich and Geordie were right, Tom Braden was the right person to ask and here is what he told me:
The answer is yes, in the case above $X$ is Whitney stratified.
The argument goes roughly as fol …
- 2,554
2
votes
1
answer
193
views
(Intersection)-Cohomology of Orbit Spaces of $SO(n)$ acting on spheres.
This is a problem i am thinking for a while but did not find an answer. Maybe one of you knows it.
Let $G:= SO(n,\mathbb{R})$, $G\times \mathbb{R}^n\to \mathbb{R}^n$ the standard representation of $G …
- 25.3k