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Results tagged with kt.k-theory-and-homology
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user 22810
Algebraic and topological K-theory, relations with topology, commutative algebra, and operator algebras
6
votes
1
answer
2k
views
(Geometric) Proof for the projective bundle formula in K-theory
I'm trying to piece together a proof of the projective bundle formula from several incomplete sources. Here's the statement I'd like to prove:
Projective bundle formula: Let $\pi: E \to X$ be a ve …
- 7,799
9
votes
2
answers
582
views
Simplest explicit counterexample for $Vect(BG) \ne Rep(G)$ as monoids
Let $G$ be a topological group, $Vect(BG)$ the monoid of complex vector bundles over its classifying space (not the stack!) and $Rep(G)$ its monoid of complex representations.
Generally $Vect(BG) \ne …
- 7,799
9
votes
1
answer
326
views
Closed formulas for topological K-theory?
Let $X$ be a compact manifold. I'm interested in whether any of the following cases admits a general closed formula for (complex)-$K$-theory. Let $E$ be a complex vector bundle with a given line bundl …
- 7,799
5
votes
0
answers
264
views
Do almost commutative flat degenerations induce equality in K-theory? (Or: Is the characteri...
I intentionally phrased the title to match a different question which is almost identical to the one i'm asking. However similar, the answer there, which uses commutative algebraic geometry, is not di …
- 7,799