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Results tagged with equivariant
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user 4721
3
votes
0
answers
651
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Equivariant Riemann-Roch on DM stacks?
Does an equivariant version of (Toen)-Riemann-Roch theorem hold say over a smooth Deligne-Mumford stack $X$ over the complex numbers?
Any references that state this explicitely? … Are there formulas for the equivariant Chern character and Todd genus?
(as for the Chern character, I am content with the case of a coherent sheaf supported at a point and with $X$ of dimension $2$) …
- 23.3k
5
votes
2
answers
1k
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Classification of (complex algebraic) vector bundles on punctured affine space
Notice that equivariant v.b. on $X_n$ are in bijection -via pullback- with v.b. on $\mathbb{P}^n$, and the latter form already a rich moduli problem on its own. … Are there vector bundles on $X_n$ that are not pullbacks of v.b. on $\mathbb{P}^n$, that is, v.b. on $X_n$ that do not admit an equivariant structure? …
- 23.3k