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Results tagged with kt.k-theory-and-homology
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user 111491
Algebraic and topological K-theory, relations with topology, commutative algebra, and operator algebras
3
votes
Accepted
Chern character of coherent sheaf on singular variety
Let me summarize what is known about Chern classes and the Chern character on singular varieties, expanding on the comments to the question.
On a normal variety the first Chern class is easily defin …
- 2,310
10
votes
1
answer
670
views
Topological version of K-theory of coherent sheaves
My question is this: what is the topological analog of the Grothendieck group of coherent sheaves $G(X)$?
Background:
In Algebra/Algebraic Geometry there are two versions of the Grothendieck group o …
- 2,310
25
votes
1
answer
828
views
Vector bundles on $\mathbb{A}^n / G$
Let $G$ be a finite group acting linearly on $\mathbb{A}^n$. Do we expect algebraic vector bundles on $X := \mathbb{A}^n/G$ to be trivial? Here by the quotient I mean the singular scheme, not the stac …
- 2,310